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Finding the Third Proportional to 84,898.13 and 176,757.19

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Solution

The third proportional to 84,898.13 and 176,757.19 is: 368,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,898.13 : 176,757.19 = 176,757.19 : x
  2. Step 2: Convert to fraction form
    84,898.13/176,757.19 = 176,757.19/x
  3. Step 3: Cross multiply
    84,898.13x = 176,757.19 × 176,757.19
  4. Step 4: Simplify right side
    84,898.13x = 31,243,103,332.91
  5. Step 5: Solve for x
    x = 31,243,103,332.91/84,898.13
  6. Step 6: Final answer
    x = 368,006.99

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