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Finding the Third Proportional to 213,141.38 and 466,354.97

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Solution

The third proportional to 213,141.38 and 466,354.97 is: 1,020,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,141.38 : 466,354.97 = 466,354.97 : x
  2. Step 2: Convert to fraction form
    213,141.38/466,354.97 = 466,354.97/x
  3. Step 3: Cross multiply
    213,141.38x = 466,354.97 × 466,354.97
  4. Step 4: Simplify right side
    213,141.38x = 217,486,956,877.81
  5. Step 5: Solve for x
    x = 217,486,956,877.81/213,141.38
  6. Step 6: Final answer
    x = 1,020,388.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.