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Finding the Third Proportional to 99,819.84 and 216,239.63

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Solution

The third proportional to 99,819.84 and 216,239.63 is: 468,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,819.84 : 216,239.63 = 216,239.63 : x
  2. Step 2: Convert to fraction form
    99,819.84/216,239.63 = 216,239.63/x
  3. Step 3: Cross multiply
    99,819.84x = 216,239.63 × 216,239.63
  4. Step 4: Simplify right side
    99,819.84x = 46,759,575,420.14
  5. Step 5: Solve for x
    x = 46,759,575,420.14/99,819.84
  6. Step 6: Final answer
    x = 468,439.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.