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Finding the Third Proportional to 82,332,382.50 and 109,761,601.50

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Solution

The third proportional to 82,332,382.50 and 109,761,601.50 is: 146,328,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,332,382.50 : 109,761,601.50 = 109,761,601.50 : x
  2. Step 2: Convert to fraction form
    82,332,382.50/109,761,601.50 = 109,761,601.50/x
  3. Step 3: Cross multiply
    82,332,382.50x = 109,761,601.50 × 109,761,601.50
  4. Step 4: Simplify right side
    82,332,382.50x = 12,047,609,163,844,802
  5. Step 5: Solve for x
    x = 12,047,609,163,844,802/82,332,382.50
  6. Step 6: Final answer
    x = 146,328,926.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.