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Finding the Third Proportional to 107,631,960 and 229,614,534

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Solution

The third proportional to 107,631,960 and 229,614,534 is: 489,843,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,631,960 : 229,614,534 = 229,614,534 : x
  2. Step 2: Convert to fraction form
    107,631,960/229,614,534 = 229,614,534/x
  3. Step 3: Cross multiply
    107,631,960x = 229,614,534 × 229,614,534
  4. Step 4: Simplify right side
    107,631,960x = 52,722,834,224,037,152
  5. Step 5: Solve for x
    x = 52,722,834,224,037,152/107,631,960
  6. Step 6: Final answer
    x = 489,843,669.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.