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Finding the Third Proportional to 99,260 and 216,366.50

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Solution

The third proportional to 99,260 and 216,366.50 is: 471,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,260 : 216,366.50 = 216,366.50 : x
  2. Step 2: Convert to fraction form
    99,260/216,366.50 = 216,366.50/x
  3. Step 3: Cross multiply
    99,260x = 216,366.50 × 216,366.50
  4. Step 4: Simplify right side
    99,260x = 46,814,462,322.25
  5. Step 5: Solve for x
    x = 46,814,462,322.25/99,260
  6. Step 6: Final answer
    x = 471,634.72

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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.