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Finding the Third Proportional to 103,805,406 and 145,995,357

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Solution

The third proportional to 103,805,406 and 145,995,357 is: 205,332,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,805,406 : 145,995,357 = 145,995,357 : x
  2. Step 2: Convert to fraction form
    103,805,406/145,995,357 = 145,995,357/x
  3. Step 3: Cross multiply
    103,805,406x = 145,995,357 × 145,995,357
  4. Step 4: Simplify right side
    103,805,406x = 21,314,644,265,557,448
  5. Step 5: Solve for x
    x = 21,314,644,265,557,448/103,805,406
  6. Step 6: Final answer
    x = 205,332,699.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.