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Finding the Third Proportional to 94,600.13 and 140,551.31

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Solution

The third proportional to 94,600.13 and 140,551.31 is: 208,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,600.13 : 140,551.31 = 140,551.31 : x
  2. Step 2: Convert to fraction form
    94,600.13/140,551.31 = 140,551.31/x
  3. Step 3: Cross multiply
    94,600.13x = 140,551.31 × 140,551.31
  4. Step 4: Simplify right side
    94,600.13x = 19,754,671,445.47
  5. Step 5: Solve for x
    x = 19,754,671,445.47/94,600.13
  6. Step 6: Final answer
    x = 208,822.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.