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Finding the Third Proportional to 69,746.06 and 151,947.84

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Solution

The third proportional to 69,746.06 and 151,947.84 is: 331,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,746.06 : 151,947.84 = 151,947.84 : x
  2. Step 2: Convert to fraction form
    69,746.06/151,947.84 = 151,947.84/x
  3. Step 3: Cross multiply
    69,746.06x = 151,947.84 × 151,947.84
  4. Step 4: Simplify right side
    69,746.06x = 23,088,147,220.27
  5. Step 5: Solve for x
    x = 23,088,147,220.27/69,746.06
  6. Step 6: Final answer
    x = 331,031.55

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Why These Related Problems?

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