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Finding the Third Proportional to 75,904,593.75 and 116,619,016.50

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Solution

The third proportional to 75,904,593.75 and 116,619,016.50 is: 179,172,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,904,593.75 : 116,619,016.50 = 116,619,016.50 : x
  2. Step 2: Convert to fraction form
    75,904,593.75/116,619,016.50 = 116,619,016.50/x
  3. Step 3: Cross multiply
    75,904,593.75x = 116,619,016.50 × 116,619,016.50
  4. Step 4: Simplify right side
    75,904,593.75x = 13,599,995,009,427,272
  5. Step 5: Solve for x
    x = 13,599,995,009,427,272/75,904,593.75
  6. Step 6: Final answer
    x = 179,172,225.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.