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Finding the Third Proportional to 102,381,831 and 144,867,187.13

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Solution

The third proportional to 102,381,831 and 144,867,187.13 is: 204,982,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381,831 : 144,867,187.13 = 144,867,187.13 : x
  2. Step 2: Convert to fraction form
    102,381,831/144,867,187.13 = 144,867,187.13/x
  3. Step 3: Cross multiply
    102,381,831x = 144,867,187.13 × 144,867,187.13
  4. Step 4: Simplify right side
    102,381,831x = 20,986,501,905,509,764
  5. Step 5: Solve for x
    x = 20,986,501,905,509,764/102,381,831
  6. Step 6: Final answer
    x = 204,982,678.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.