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Finding the Third Proportional to 77,494.22 and 171,641.53

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Solution

The third proportional to 77,494.22 and 171,641.53 is: 380,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,494.22 : 171,641.53 = 171,641.53 : x
  2. Step 2: Convert to fraction form
    77,494.22/171,641.53 = 171,641.53/x
  3. Step 3: Cross multiply
    77,494.22x = 171,641.53 × 171,641.53
  4. Step 4: Simplify right side
    77,494.22x = 29,460,815,249.84
  5. Step 5: Solve for x
    x = 29,460,815,249.84/77,494.22
  6. Step 6: Final answer
    x = 380,167.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.