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Finding the Third Proportional to 98,536.50 and 147,652.88

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Solution

The third proportional to 98,536.50 and 147,652.88 is: 221,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536.50 : 147,652.88 = 147,652.88 : x
  2. Step 2: Convert to fraction form
    98,536.50/147,652.88 = 147,652.88/x
  3. Step 3: Cross multiply
    98,536.50x = 147,652.88 × 147,652.88
  4. Step 4: Simplify right side
    98,536.50x = 21,801,371,495.77
  5. Step 5: Solve for x
    x = 21,801,371,495.77/98,536.50
  6. Step 6: Final answer
    x = 221,251.73

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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.