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Finding the Third Proportional to 64,643.06 and 150,219.56

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Solution

The third proportional to 64,643.06 and 150,219.56 is: 349,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.06 : 150,219.56 = 150,219.56 : x
  2. Step 2: Convert to fraction form
    64,643.06/150,219.56 = 150,219.56/x
  3. Step 3: Cross multiply
    64,643.06x = 150,219.56 × 150,219.56
  4. Step 4: Simplify right side
    64,643.06x = 22,565,916,957.69
  5. Step 5: Solve for x
    x = 22,565,916,957.69/64,643.06
  6. Step 6: Final answer
    x = 349,084.90

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.