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Finding the Third Proportional to 83,230 and 130,423.88

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Solution

The third proportional to 83,230 and 130,423.88 is: 204,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230 : 130,423.88 = 130,423.88 : x
  2. Step 2: Convert to fraction form
    83,230/130,423.88 = 130,423.88/x
  3. Step 3: Cross multiply
    83,230x = 130,423.88 × 130,423.88
  4. Step 4: Simplify right side
    83,230x = 17,010,387,170.02
  5. Step 5: Solve for x
    x = 17,010,387,170.02/83,230
  6. Step 6: Final answer
    x = 204,378.07

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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.