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Finding the Third Proportional to 101,234,187 and 151,187,901

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Solution

The third proportional to 101,234,187 and 151,187,901 is: 225,791,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,234,187 : 151,187,901 = 151,187,901 : x
  2. Step 2: Convert to fraction form
    101,234,187/151,187,901 = 151,187,901/x
  3. Step 3: Cross multiply
    101,234,187x = 151,187,901 × 151,187,901
  4. Step 4: Simplify right side
    101,234,187x = 22,857,781,408,785,800
  5. Step 5: Solve for x
    x = 22,857,781,408,785,800/101,234,187
  6. Step 6: Final answer
    x = 225,791,129.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.