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Finding the Third Proportional to 97,848 and 209,910

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Solution

The third proportional to 97,848 and 209,910 is: 450,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,848 : 209,910 = 209,910 : x
  2. Step 2: Convert to fraction form
    97,848/209,910 = 209,910/x
  3. Step 3: Cross multiply
    97,848x = 209,910 × 209,910
  4. Step 4: Simplify right side
    97,848x = 44,062,208,100
  5. Step 5: Solve for x
    x = 44,062,208,100/97,848
  6. Step 6: Final answer
    x = 450,312.81

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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.