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Finding the Third Proportional to 75,866,802 and 108,412,043

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Solution

The third proportional to 75,866,802 and 108,412,043 is: 154,918,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,866,802 : 108,412,043 = 108,412,043 : x
  2. Step 2: Convert to fraction form
    75,866,802/108,412,043 = 108,412,043/x
  3. Step 3: Cross multiply
    75,866,802x = 108,412,043 × 108,412,043
  4. Step 4: Simplify right side
    75,866,802x = 11,753,171,067,433,848
  5. Step 5: Solve for x
    x = 11,753,171,067,433,848/75,866,802
  6. Step 6: Final answer
    x = 154,918,498.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.