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Finding the Third Proportional to 75,781,668 and 159,485,352

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Solution

The third proportional to 75,781,668 and 159,485,352 is: 335,642,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,781,668 : 159,485,352 = 159,485,352 : x
  2. Step 2: Convert to fraction form
    75,781,668/159,485,352 = 159,485,352/x
  3. Step 3: Cross multiply
    75,781,668x = 159,485,352 × 159,485,352
  4. Step 4: Simplify right side
    75,781,668x = 25,435,577,502,563,904
  5. Step 5: Solve for x
    x = 25,435,577,502,563,904/75,781,668
  6. Step 6: Final answer
    x = 335,642,882.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.