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Finding the Third Proportional to 99,292.50 and 216,057

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Solution

The third proportional to 99,292.50 and 216,057 is: 470,132.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,292.50 : 216,057 = 216,057 : x
  2. Step 2: Convert to fraction form
    99,292.50/216,057 = 216,057/x
  3. Step 3: Cross multiply
    99,292.50x = 216,057 × 216,057
  4. Step 4: Simplify right side
    99,292.50x = 46,680,627,249
  5. Step 5: Solve for x
    x = 46,680,627,249/99,292.50
  6. Step 6: Final answer
    x = 470,132.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.