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Finding the Third Proportional to 211,712.06 and 454,123.13

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Solution

The third proportional to 211,712.06 and 454,123.13 is: 974,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,712.06 : 454,123.13 = 454,123.13 : x
  2. Step 2: Convert to fraction form
    211,712.06/454,123.13 = 454,123.13/x
  3. Step 3: Cross multiply
    211,712.06x = 454,123.13 × 454,123.13
  4. Step 4: Simplify right side
    211,712.06x = 206,227,812,659.77
  5. Step 5: Solve for x
    x = 206,227,812,659.77/211,712.06
  6. Step 6: Final answer
    x = 974,095.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.