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Finding the Third Proportional to 87,314.63 and 180,883.13

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Solution

The third proportional to 87,314.63 and 180,883.13 is: 374,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,314.63 : 180,883.13 = 180,883.13 : x
  2. Step 2: Convert to fraction form
    87,314.63/180,883.13 = 180,883.13/x
  3. Step 3: Cross multiply
    87,314.63x = 180,883.13 × 180,883.13
  4. Step 4: Simplify right side
    87,314.63x = 32,718,704,909.77
  5. Step 5: Solve for x
    x = 32,718,704,909.77/87,314.63
  6. Step 6: Final answer
    x = 374,721.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.