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Finding the Third Proportional to 77,656.22 and 167,545.97

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Solution

The third proportional to 77,656.22 and 167,545.97 is: 361,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656.22 : 167,545.97 = 167,545.97 : x
  2. Step 2: Convert to fraction form
    77,656.22/167,545.97 = 167,545.97/x
  3. Step 3: Cross multiply
    77,656.22x = 167,545.97 × 167,545.97
  4. Step 4: Simplify right side
    77,656.22x = 28,071,651,644.38
  5. Step 5: Solve for x
    x = 28,071,651,644.38/77,656.22
  6. Step 6: Final answer
    x = 361,486.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.