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Finding the Third Proportional to 136,602.07 and 218,230.14

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Solution

The third proportional to 136,602.07 and 218,230.14 is: 348,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,602.07 : 218,230.14 = 218,230.14 : x
  2. Step 2: Convert to fraction form
    136,602.07/218,230.14 = 218,230.14/x
  3. Step 3: Cross multiply
    136,602.07x = 218,230.14 × 218,230.14
  4. Step 4: Simplify right side
    136,602.07x = 47,624,392,572.28
  5. Step 5: Solve for x
    x = 47,624,392,572.28/136,602.07
  6. Step 6: Final answer
    x = 348,635.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.