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Finding the Third Proportional to 77,007.38 and 155,159.44

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Solution

The third proportional to 77,007.38 and 155,159.44 is: 312,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007.38 : 155,159.44 = 155,159.44 : x
  2. Step 2: Convert to fraction form
    77,007.38/155,159.44 = 155,159.44/x
  3. Step 3: Cross multiply
    77,007.38x = 155,159.44 × 155,159.44
  4. Step 4: Simplify right side
    77,007.38x = 24,074,451,045.32
  5. Step 5: Solve for x
    x = 24,074,451,045.32/77,007.38
  6. Step 6: Final answer
    x = 312,625.27

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.