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Finding the Third Proportional to 99,742.50 and 218,556

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Solution

The third proportional to 99,742.50 and 218,556 is: 478,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,742.50 : 218,556 = 218,556 : x
  2. Step 2: Convert to fraction form
    99,742.50/218,556 = 218,556/x
  3. Step 3: Cross multiply
    99,742.50x = 218,556 × 218,556
  4. Step 4: Simplify right side
    99,742.50x = 47,766,725,136
  5. Step 5: Solve for x
    x = 47,766,725,136/99,742.50
  6. Step 6: Final answer
    x = 478,900.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.