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Finding the Third Proportional to 99,026.44 and 216,197.72

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Solution

The third proportional to 99,026.44 and 216,197.72 is: 472,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,026.44 : 216,197.72 = 216,197.72 : x
  2. Step 2: Convert to fraction form
    99,026.44/216,197.72 = 216,197.72/x
  3. Step 3: Cross multiply
    99,026.44x = 216,197.72 × 216,197.72
  4. Step 4: Simplify right side
    99,026.44x = 46,741,453,592.70
  5. Step 5: Solve for x
    x = 46,741,453,592.70/99,026.44
  6. Step 6: Final answer
    x = 472,009.85

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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.