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Finding the Third Proportional to 77,916.94 and 168,287.63

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Solution

The third proportional to 77,916.94 and 168,287.63 is: 363,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,916.94 : 168,287.63 = 168,287.63 : x
  2. Step 2: Convert to fraction form
    77,916.94/168,287.63 = 168,287.63/x
  3. Step 3: Cross multiply
    77,916.94x = 168,287.63 × 168,287.63
  4. Step 4: Simplify right side
    77,916.94x = 28,320,724,728.14
  5. Step 5: Solve for x
    x = 28,320,724,728.14/77,916.94
  6. Step 6: Final answer
    x = 363,473.28

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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.