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Finding the Third Proportional to 67,981.86 and 148,150.27

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Solution

The third proportional to 67,981.86 and 148,150.27 is: 322,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981.86 : 148,150.27 = 148,150.27 : x
  2. Step 2: Convert to fraction form
    67,981.86/148,150.27 = 148,150.27/x
  3. Step 3: Cross multiply
    67,981.86x = 148,150.27 × 148,150.27
  4. Step 4: Simplify right side
    67,981.86x = 21,948,501,204.76
  5. Step 5: Solve for x
    x = 21,948,501,204.76/67,981.86
  6. Step 6: Final answer
    x = 322,858.20

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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.