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Finding the Third Proportional to 42,340.50 and 91,431

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Solution

The third proportional to 42,340.50 and 91,431 is: 197,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,340.50 : 91,431 = 91,431 : x
  2. Step 2: Convert to fraction form
    42,340.50/91,431 = 91,431/x
  3. Step 3: Cross multiply
    42,340.50x = 91,431 × 91,431
  4. Step 4: Simplify right side
    42,340.50x = 8,359,627,761
  5. Step 5: Solve for x
    x = 8,359,627,761/42,340.50
  6. Step 6: Final answer
    x = 197,438.10

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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.