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Finding the Third Proportional to 77,834.63 and 171,221.25

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Solution

The third proportional to 77,834.63 and 171,221.25 is: 376,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,834.63 : 171,221.25 = 171,221.25 : x
  2. Step 2: Convert to fraction form
    77,834.63/171,221.25 = 171,221.25/x
  3. Step 3: Cross multiply
    77,834.63x = 171,221.25 × 171,221.25
  4. Step 4: Simplify right side
    77,834.63x = 29,316,716,451.56
  5. Step 5: Solve for x
    x = 29,316,716,451.56/77,834.63
  6. Step 6: Final answer
    x = 376,653.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.