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Finding the Third Proportional to 263,189,060.16 and 570,265,401.09

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Solution

The third proportional to 263,189,060.16 and 570,265,401.09 is: 1,235,623,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,189,060.16 : 570,265,401.09 = 570,265,401.09 : x
  2. Step 2: Convert to fraction form
    263,189,060.16/570,265,401.09 = 570,265,401.09/x
  3. Step 3: Cross multiply
    263,189,060.16x = 570,265,401.09 × 570,265,401.09
  4. Step 4: Simplify right side
    263,189,060.16x = 325,202,627,684,615,552
  5. Step 5: Solve for x
    x = 325,202,627,684,615,552/263,189,060.16
  6. Step 6: Final answer
    x = 1,235,623,652.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.