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Finding the Third Proportional to 108,073,041 and 159,251,929.50

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Solution

The third proportional to 108,073,041 and 159,251,929.50 is: 234,667,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,073,041 : 159,251,929.50 = 159,251,929.50 : x
  2. Step 2: Convert to fraction form
    108,073,041/159,251,929.50 = 159,251,929.50/x
  3. Step 3: Cross multiply
    108,073,041x = 159,251,929.50 × 159,251,929.50
  4. Step 4: Simplify right side
    108,073,041x = 25,361,177,049,472,972
  5. Step 5: Solve for x
    x = 25,361,177,049,472,972/108,073,041
  6. Step 6: Final answer
    x = 234,667,006.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.