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Finding the Third Proportional to 298,263,325,456.90 and 654,271,967,091.90

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Solution

The third proportional to 298,263,325,456.90 and 654,271,967,091.90 is: 1,435,214,357,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,263,325,456.90 : 654,271,967,091.90 = 654,271,967,091.90 : x
  2. Step 2: Convert to fraction form
    298,263,325,456.90/654,271,967,091.90 = 654,271,967,091.90/x
  3. Step 3: Cross multiply
    298,263,325,456.90x = 654,271,967,091.90 × 654,271,967,091.90
  4. Step 4: Simplify right side
    298,263,325,456.90x = 428,071,806,922,304,276,922,368
  5. Step 5: Solve for x
    x = 428,071,806,922,304,276,922,368/298,263,325,456.90
  6. Step 6: Final answer
    x = 1,435,214,357,201.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.