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Finding the Third Proportional to 77,773.50 and 169,615.69

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Solution

The third proportional to 77,773.50 and 169,615.69 is: 369,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,773.50 : 169,615.69 = 169,615.69 : x
  2. Step 2: Convert to fraction form
    77,773.50/169,615.69 = 169,615.69/x
  3. Step 3: Cross multiply
    77,773.50x = 169,615.69 × 169,615.69
  4. Step 4: Simplify right side
    77,773.50x = 28,769,481,446.10
  5. Step 5: Solve for x
    x = 28,769,481,446.10/77,773.50
  6. Step 6: Final answer
    x = 369,913.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.