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Finding the Third Proportional to 77,963.13 and 168,369.10

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Solution

The third proportional to 77,963.13 and 168,369.10 is: 363,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963.13 : 168,369.10 = 168,369.10 : x
  2. Step 2: Convert to fraction form
    77,963.13/168,369.10 = 168,369.10/x
  3. Step 3: Cross multiply
    77,963.13x = 168,369.10 × 168,369.10
  4. Step 4: Simplify right side
    77,963.13x = 28,348,153,703.27
  5. Step 5: Solve for x
    x = 28,348,153,703.27/77,963.13
  6. Step 6: Final answer
    x = 363,609.73

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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.