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Finding the Third Proportional to 69,098.06 and 150,703.03

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Solution

The third proportional to 69,098.06 and 150,703.03 is: 328,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098.06 : 150,703.03 = 150,703.03 : x
  2. Step 2: Convert to fraction form
    69,098.06/150,703.03 = 150,703.03/x
  3. Step 3: Cross multiply
    69,098.06x = 150,703.03 × 150,703.03
  4. Step 4: Simplify right side
    69,098.06x = 22,711,403,627.94
  5. Step 5: Solve for x
    x = 22,711,403,627.94/69,098.06
  6. Step 6: Final answer
    x = 328,683.65

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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.