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Finding the Third Proportional to 41,226,016.50 and 85,843,114.88

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Solution

The third proportional to 41,226,016.50 and 85,843,114.88 is: 178,747,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226,016.50 : 85,843,114.88 = 85,843,114.88 : x
  2. Step 2: Convert to fraction form
    41,226,016.50/85,843,114.88 = 85,843,114.88/x
  3. Step 3: Cross multiply
    41,226,016.50x = 85,843,114.88 × 85,843,114.88
  4. Step 4: Simplify right side
    41,226,016.50x = 7,369,040,371,442,446
  5. Step 5: Solve for x
    x = 7,369,040,371,442,446/41,226,016.50
  6. Step 6: Final answer
    x = 178,747,329.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.