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Finding the Third Proportional to 98,817 and 219,742.50

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Solution

The third proportional to 98,817 and 219,742.50 is: 488,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,817 : 219,742.50 = 219,742.50 : x
  2. Step 2: Convert to fraction form
    98,817/219,742.50 = 219,742.50/x
  3. Step 3: Cross multiply
    98,817x = 219,742.50 × 219,742.50
  4. Step 4: Simplify right side
    98,817x = 48,286,766,306.25
  5. Step 5: Solve for x
    x = 48,286,766,306.25/98,817
  6. Step 6: Final answer
    x = 488,648.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.