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Finding the Third Proportional to 97,444 and 209,928

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Solution

The third proportional to 97,444 and 209,928 is: 452,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,444 : 209,928 = 209,928 : x
  2. Step 2: Convert to fraction form
    97,444/209,928 = 209,928/x
  3. Step 3: Cross multiply
    97,444x = 209,928 × 209,928
  4. Step 4: Simplify right side
    97,444x = 44,069,765,184
  5. Step 5: Solve for x
    x = 44,069,765,184/97,444
  6. Step 6: Final answer
    x = 452,257.35

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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.