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Finding the Third Proportional to 107,607,768 and 171,308,448

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Solution

The third proportional to 107,607,768 and 171,308,448 is: 272,718,084.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,607,768 : 171,308,448 = 171,308,448 : x
  2. Step 2: Convert to fraction form
    107,607,768/171,308,448 = 171,308,448/x
  3. Step 3: Cross multiply
    107,607,768x = 171,308,448 × 171,308,448
  4. Step 4: Simplify right side
    107,607,768x = 29,346,584,356,168,704
  5. Step 5: Solve for x
    x = 29,346,584,356,168,704/107,607,768
  6. Step 6: Final answer
    x = 272,718,084.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.