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Finding the Third Proportional to 101,434 and 216,940

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Solution

The third proportional to 101,434 and 216,940 is: 463,976.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,434 : 216,940 = 216,940 : x
  2. Step 2: Convert to fraction form
    101,434/216,940 = 216,940/x
  3. Step 3: Cross multiply
    101,434x = 216,940 × 216,940
  4. Step 4: Simplify right side
    101,434x = 47,062,963,600
  5. Step 5: Solve for x
    x = 47,062,963,600/101,434
  6. Step 6: Final answer
    x = 463,976.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.