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Finding the Third Proportional to 69,102.28 and 150,711.47

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Solution

The third proportional to 69,102.28 and 150,711.47 is: 328,700.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102.28 : 150,711.47 = 150,711.47 : x
  2. Step 2: Convert to fraction form
    69,102.28/150,711.47 = 150,711.47/x
  3. Step 3: Cross multiply
    69,102.28x = 150,711.47 × 150,711.47
  4. Step 4: Simplify right side
    69,102.28x = 22,713,946,812.78
  5. Step 5: Solve for x
    x = 22,713,946,812.78/69,102.28
  6. Step 6: Final answer
    x = 328,700.39

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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.