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Finding the Third Proportional to 99,711 and 216,097.88

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Solution

The third proportional to 99,711 and 216,097.88 is: 468,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 216,097.88 = 216,097.88 : x
  2. Step 2: Convert to fraction form
    99,711/216,097.88 = 216,097.88/x
  3. Step 3: Cross multiply
    99,711x = 216,097.88 × 216,097.88
  4. Step 4: Simplify right side
    99,711x = 46,698,291,579.52
  5. Step 5: Solve for x
    x = 46,698,291,579.52/99,711
  6. Step 6: Final answer
    x = 468,336.41

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Why These Related Problems?

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