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Finding the Third Proportional to 98,821.50 and 147,962.25

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Solution

The third proportional to 98,821.50 and 147,962.25 is: 221,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,821.50 : 147,962.25 = 147,962.25 : x
  2. Step 2: Convert to fraction form
    98,821.50/147,962.25 = 147,962.25/x
  3. Step 3: Cross multiply
    98,821.50x = 147,962.25 × 147,962.25
  4. Step 4: Simplify right side
    98,821.50x = 21,892,827,425.06
  5. Step 5: Solve for x
    x = 21,892,827,425.06/98,821.50
  6. Step 6: Final answer
    x = 221,539.11

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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.