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Finding the Third Proportional to 77,952.38 and 168,368.63

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Solution

The third proportional to 77,952.38 and 168,368.63 is: 363,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952.38 : 168,368.63 = 168,368.63 : x
  2. Step 2: Convert to fraction form
    77,952.38/168,368.63 = 168,368.63/x
  3. Step 3: Cross multiply
    77,952.38x = 168,368.63 × 168,368.63
  4. Step 4: Simplify right side
    77,952.38x = 28,347,993,884.39
  5. Step 5: Solve for x
    x = 28,347,993,884.39/77,952.38
  6. Step 6: Final answer
    x = 363,657.86

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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.