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Finding the Third Proportional to 80,734,294.69 and 176,082,184.13

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Solution

The third proportional to 80,734,294.69 and 176,082,184.13 is: 384,036,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,734,294.69 : 176,082,184.13 = 176,082,184.13 : x
  2. Step 2: Convert to fraction form
    80,734,294.69/176,082,184.13 = 176,082,184.13/x
  3. Step 3: Cross multiply
    80,734,294.69x = 176,082,184.13 × 176,082,184.13
  4. Step 4: Simplify right side
    80,734,294.69x = 31,004,935,566,230,404
  5. Step 5: Solve for x
    x = 31,004,935,566,230,404/80,734,294.69
  6. Step 6: Final answer
    x = 384,036,742.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.