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Finding the Third Proportional to 148,069.97 and 216,551.81

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Solution

The third proportional to 148,069.97 and 216,551.81 is: 316,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,069.97 : 216,551.81 = 216,551.81 : x
  2. Step 2: Convert to fraction form
    148,069.97/216,551.81 = 216,551.81/x
  3. Step 3: Cross multiply
    148,069.97x = 216,551.81 × 216,551.81
  4. Step 4: Simplify right side
    148,069.97x = 46,894,687,497.04
  5. Step 5: Solve for x
    x = 46,894,687,497.04/148,069.97
  6. Step 6: Final answer
    x = 316,706.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.