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Finding the Third Proportional to 83,526.19 and 185,687.44

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Solution

The third proportional to 83,526.19 and 185,687.44 is: 412,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,526.19 : 185,687.44 = 185,687.44 : x
  2. Step 2: Convert to fraction form
    83,526.19/185,687.44 = 185,687.44/x
  3. Step 3: Cross multiply
    83,526.19x = 185,687.44 × 185,687.44
  4. Step 4: Simplify right side
    83,526.19x = 34,479,824,445.32
  5. Step 5: Solve for x
    x = 34,479,824,445.32/83,526.19
  6. Step 6: Final answer
    x = 412,802.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.