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Finding the Third Proportional to 98,578.90 and 147,701.92

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Solution

The third proportional to 98,578.90 and 147,701.92 is: 221,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.90 : 147,701.92 = 147,701.92 : x
  2. Step 2: Convert to fraction form
    98,578.90/147,701.92 = 147,701.92/x
  3. Step 3: Cross multiply
    98,578.90x = 147,701.92 × 147,701.92
  4. Step 4: Simplify right side
    98,578.90x = 21,815,856,571.65
  5. Step 5: Solve for x
    x = 21,815,856,571.65/98,578.90
  6. Step 6: Final answer
    x = 221,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.