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Finding the Third Proportional to 99,596 and 215,038

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Solution

The third proportional to 99,596 and 215,038 is: 464,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,596 : 215,038 = 215,038 : x
  2. Step 2: Convert to fraction form
    99,596/215,038 = 215,038/x
  3. Step 3: Cross multiply
    99,596x = 215,038 × 215,038
  4. Step 4: Simplify right side
    99,596x = 46,241,341,444
  5. Step 5: Solve for x
    x = 46,241,341,444/99,596
  6. Step 6: Final answer
    x = 464,289.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.