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Finding the Third Proportional to 98,458 and 215,977

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Solution

The third proportional to 98,458 and 215,977 is: 473,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,458 : 215,977 = 215,977 : x
  2. Step 2: Convert to fraction form
    98,458/215,977 = 215,977/x
  3. Step 3: Cross multiply
    98,458x = 215,977 × 215,977
  4. Step 4: Simplify right side
    98,458x = 46,646,064,529
  5. Step 5: Solve for x
    x = 46,646,064,529/98,458
  6. Step 6: Final answer
    x = 473,766.12

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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.