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Finding the Third Proportional to 158,592.75 and 216,013.13

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Solution

The third proportional to 158,592.75 and 216,013.13 is: 294,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,592.75 : 216,013.13 = 216,013.13 : x
  2. Step 2: Convert to fraction form
    158,592.75/216,013.13 = 216,013.13/x
  3. Step 3: Cross multiply
    158,592.75x = 216,013.13 × 216,013.13
  4. Step 4: Simplify right side
    158,592.75x = 46,661,670,172.27
  5. Step 5: Solve for x
    x = 46,661,670,172.27/158,592.75
  6. Step 6: Final answer
    x = 294,223.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.