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Finding the Third Proportional to 83,784.38 and 176,185.13

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Solution

The third proportional to 83,784.38 and 176,185.13 is: 370,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,784.38 : 176,185.13 = 176,185.13 : x
  2. Step 2: Convert to fraction form
    83,784.38/176,185.13 = 176,185.13/x
  3. Step 3: Cross multiply
    83,784.38x = 176,185.13 × 176,185.13
  4. Step 4: Simplify right side
    83,784.38x = 31,041,198,271.27
  5. Step 5: Solve for x
    x = 31,041,198,271.27/83,784.38
  6. Step 6: Final answer
    x = 370,489.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.