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Finding the Third Proportional to 99,983 and 216,909

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Solution

The third proportional to 99,983 and 216,909 is: 470,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,983 : 216,909 = 216,909 : x
  2. Step 2: Convert to fraction form
    99,983/216,909 = 216,909/x
  3. Step 3: Cross multiply
    99,983x = 216,909 × 216,909
  4. Step 4: Simplify right side
    99,983x = 47,049,514,281
  5. Step 5: Solve for x
    x = 47,049,514,281/99,983
  6. Step 6: Final answer
    x = 470,575.14

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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.