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Finding the Third Proportional to 83,152.99 and 130,294.16

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Solution

The third proportional to 83,152.99 and 130,294.16 is: 204,160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,152.99 : 130,294.16 = 130,294.16 : x
  2. Step 2: Convert to fraction form
    83,152.99/130,294.16 = 130,294.16/x
  3. Step 3: Cross multiply
    83,152.99x = 130,294.16 × 130,294.16
  4. Step 4: Simplify right side
    83,152.99x = 16,976,567,025.66
  5. Step 5: Solve for x
    x = 16,976,567,025.66/83,152.99
  6. Step 6: Final answer
    x = 204,160.64

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.