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Finding the Third Proportional to 81,146,491.50 and 125,669,460

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Solution

The third proportional to 81,146,491.50 and 125,669,460 is: 194,621,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,146,491.50 : 125,669,460 = 125,669,460 : x
  2. Step 2: Convert to fraction form
    81,146,491.50/125,669,460 = 125,669,460/x
  3. Step 3: Cross multiply
    81,146,491.50x = 125,669,460 × 125,669,460
  4. Step 4: Simplify right side
    81,146,491.50x = 15,792,813,176,691,600
  5. Step 5: Solve for x
    x = 15,792,813,176,691,600/81,146,491.50
  6. Step 6: Final answer
    x = 194,621,022.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.