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Finding the Third Proportional to 103,046 and 217,161

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Solution

The third proportional to 103,046 and 217,161 is: 457,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,046 : 217,161 = 217,161 : x
  2. Step 2: Convert to fraction form
    103,046/217,161 = 217,161/x
  3. Step 3: Cross multiply
    103,046x = 217,161 × 217,161
  4. Step 4: Simplify right side
    103,046x = 47,158,899,921
  5. Step 5: Solve for x
    x = 47,158,899,921/103,046
  6. Step 6: Final answer
    x = 457,649.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.