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Finding the Third Proportional to 98,444 and 215,958

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Solution

The third proportional to 98,444 and 215,958 is: 473,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,444 : 215,958 = 215,958 : x
  2. Step 2: Convert to fraction form
    98,444/215,958 = 215,958/x
  3. Step 3: Cross multiply
    98,444x = 215,958 × 215,958
  4. Step 4: Simplify right side
    98,444x = 46,637,857,764
  5. Step 5: Solve for x
    x = 46,637,857,764/98,444
  6. Step 6: Final answer
    x = 473,750.13

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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.