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Finding the Third Proportional to 98,658 and 215,767.13

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Solution

The third proportional to 98,658 and 215,767.13 is: 471,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,658 : 215,767.13 = 215,767.13 : x
  2. Step 2: Convert to fraction form
    98,658/215,767.13 = 215,767.13/x
  3. Step 3: Cross multiply
    98,658x = 215,767.13 × 215,767.13
  4. Step 4: Simplify right side
    98,658x = 46,555,452,230.77
  5. Step 5: Solve for x
    x = 46,555,452,230.77/98,658
  6. Step 6: Final answer
    x = 471,887.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.