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Finding the Third Proportional to 98,070.75 and 151,540.88

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Solution

The third proportional to 98,070.75 and 151,540.88 is: 234,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,070.75 : 151,540.88 = 151,540.88 : x
  2. Step 2: Convert to fraction form
    98,070.75/151,540.88 = 151,540.88/x
  3. Step 3: Cross multiply
    98,070.75x = 151,540.88 × 151,540.88
  4. Step 4: Simplify right side
    98,070.75x = 22,964,636,795.77
  5. Step 5: Solve for x
    x = 22,964,636,795.77/98,070.75
  6. Step 6: Final answer
    x = 234,163.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.