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Finding the Third Proportional to 103,435,551 and 225,031,295

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Solution

The third proportional to 103,435,551 and 225,031,295 is: 489,571,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,435,551 : 225,031,295 = 225,031,295 : x
  2. Step 2: Convert to fraction form
    103,435,551/225,031,295 = 225,031,295/x
  3. Step 3: Cross multiply
    103,435,551x = 225,031,295 × 225,031,295
  4. Step 4: Simplify right side
    103,435,551x = 50,639,083,729,377,024
  5. Step 5: Solve for x
    x = 50,639,083,729,377,024/103,435,551
  6. Step 6: Final answer
    x = 489,571,363.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.