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Finding the Third Proportional to 208,423.13 and 454,123.13

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Solution

The third proportional to 208,423.13 and 454,123.13 is: 989,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,423.13 : 454,123.13 = 454,123.13 : x
  2. Step 2: Convert to fraction form
    208,423.13/454,123.13 = 454,123.13/x
  3. Step 3: Cross multiply
    208,423.13x = 454,123.13 × 454,123.13
  4. Step 4: Simplify right side
    208,423.13x = 206,227,812,659.77
  5. Step 5: Solve for x
    x = 206,227,812,659.77/208,423.13
  6. Step 6: Final answer
    x = 989,467.04

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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.