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Finding the Third Proportional to 77,869.69 and 169,408.13

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Solution

The third proportional to 77,869.69 and 169,408.13 is: 368,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,869.69 : 169,408.13 = 169,408.13 : x
  2. Step 2: Convert to fraction form
    77,869.69/169,408.13 = 169,408.13/x
  3. Step 3: Cross multiply
    77,869.69x = 169,408.13 × 169,408.13
  4. Step 4: Simplify right side
    77,869.69x = 28,699,112,816.02
  5. Step 5: Solve for x
    x = 28,699,112,816.02/77,869.69
  6. Step 6: Final answer
    x = 368,553.08

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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.