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Finding the Third Proportional to 77,977.13 and 168,404.25

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Solution

The third proportional to 77,977.13 and 168,404.25 is: 363,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,977.13 : 168,404.25 = 168,404.25 : x
  2. Step 2: Convert to fraction form
    77,977.13/168,404.25 = 168,404.25/x
  3. Step 3: Cross multiply
    77,977.13x = 168,404.25 × 168,404.25
  4. Step 4: Simplify right side
    77,977.13x = 28,359,991,418.06
  5. Step 5: Solve for x
    x = 28,359,991,418.06/77,977.13
  6. Step 6: Final answer
    x = 363,696.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.