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Finding the Third Proportional to 99,711 and 168,277.50

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Solution

The third proportional to 99,711 and 168,277.50 is: 283,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,711 : 168,277.50 = 168,277.50 : x
  2. Step 2: Convert to fraction form
    99,711/168,277.50 = 168,277.50/x
  3. Step 3: Cross multiply
    99,711x = 168,277.50 × 168,277.50
  4. Step 4: Simplify right side
    99,711x = 28,317,317,006.25
  5. Step 5: Solve for x
    x = 28,317,317,006.25/99,711
  6. Step 6: Final answer
    x = 283,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.