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Finding the Third Proportional to 230,992,610 and 513,631,444

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Solution

The third proportional to 230,992,610 and 513,631,444 is: 1,142,102,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,992,610 : 513,631,444 = 513,631,444 : x
  2. Step 2: Convert to fraction form
    230,992,610/513,631,444 = 513,631,444/x
  3. Step 3: Cross multiply
    230,992,610x = 513,631,444 × 513,631,444
  4. Step 4: Simplify right side
    230,992,610x = 263,817,260,265,525,120
  5. Step 5: Solve for x
    x = 263,817,260,265,525,120/230,992,610
  6. Step 6: Final answer
    x = 1,142,102,599.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.