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Finding the Third Proportional to 98,808.75 and 147,943.50

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Solution

The third proportional to 98,808.75 and 147,943.50 is: 221,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,808.75 : 147,943.50 = 147,943.50 : x
  2. Step 2: Convert to fraction form
    98,808.75/147,943.50 = 147,943.50/x
  3. Step 3: Cross multiply
    98,808.75x = 147,943.50 × 147,943.50
  4. Step 4: Simplify right side
    98,808.75x = 21,887,279,192.25
  5. Step 5: Solve for x
    x = 21,887,279,192.25/98,808.75
  6. Step 6: Final answer
    x = 221,511.55

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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.