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Finding the Third Proportional to 76,699.83 and 157,234.92

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Solution

The third proportional to 76,699.83 and 157,234.92 is: 322,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,699.83 : 157,234.92 = 157,234.92 : x
  2. Step 2: Convert to fraction form
    76,699.83/157,234.92 = 157,234.92/x
  3. Step 3: Cross multiply
    76,699.83x = 157,234.92 × 157,234.92
  4. Step 4: Simplify right side
    76,699.83x = 24,722,820,657.04
  5. Step 5: Solve for x
    x = 24,722,820,657.04/76,699.83
  6. Step 6: Final answer
    x = 322,332.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.