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Finding the Third Proportional to 98,578.27 and 153,822.80

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Solution

The third proportional to 98,578.27 and 153,822.80 is: 240,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.27 : 153,822.80 = 153,822.80 : x
  2. Step 2: Convert to fraction form
    98,578.27/153,822.80 = 153,822.80/x
  3. Step 3: Cross multiply
    98,578.27x = 153,822.80 × 153,822.80
  4. Step 4: Simplify right side
    98,578.27x = 23,661,452,838.45
  5. Step 5: Solve for x
    x = 23,661,452,838.45/98,578.27
  6. Step 6: Final answer
    x = 240,027.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.