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Finding the Third Proportional to 100,471.25 and 216,717.63

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Solution

The third proportional to 100,471.25 and 216,717.63 is: 467,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.25 : 216,717.63 = 216,717.63 : x
  2. Step 2: Convert to fraction form
    100,471.25/216,717.63 = 216,717.63/x
  3. Step 3: Cross multiply
    100,471.25x = 216,717.63 × 216,717.63
  4. Step 4: Simplify right side
    100,471.25x = 46,966,528,985.64
  5. Step 5: Solve for x
    x = 46,966,528,985.64/100,471.25
  6. Step 6: Final answer
    x = 467,462.37

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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.