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Finding the Third Proportional to 100,493.16 and 215,561.25

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Solution

The third proportional to 100,493.16 and 215,561.25 is: 462,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,493.16 : 215,561.25 = 215,561.25 : x
  2. Step 2: Convert to fraction form
    100,493.16/215,561.25 = 215,561.25/x
  3. Step 3: Cross multiply
    100,493.16x = 215,561.25 × 215,561.25
  4. Step 4: Simplify right side
    100,493.16x = 46,466,652,501.56
  5. Step 5: Solve for x
    x = 46,466,652,501.56/100,493.16
  6. Step 6: Final answer
    x = 462,386.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.