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Finding the Third Proportional to 69,280.31 and 149,637.38

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Solution

The third proportional to 69,280.31 and 149,637.38 is: 323,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,280.31 : 149,637.38 = 149,637.38 : x
  2. Step 2: Convert to fraction form
    69,280.31/149,637.38 = 149,637.38/x
  3. Step 3: Cross multiply
    69,280.31x = 149,637.38 × 149,637.38
  4. Step 4: Simplify right side
    69,280.31x = 22,391,343,996.89
  5. Step 5: Solve for x
    x = 22,391,343,996.89/69,280.31
  6. Step 6: Final answer
    x = 323,199.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.