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Finding the Third Proportional to 45,848 and 97,214

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Solution

The third proportional to 45,848 and 97,214 is: 206,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,848 : 97,214 = 97,214 : x
  2. Step 2: Convert to fraction form
    45,848/97,214 = 97,214/x
  3. Step 3: Cross multiply
    45,848x = 97,214 × 97,214
  4. Step 4: Simplify right side
    45,848x = 9,450,561,796
  5. Step 5: Solve for x
    x = 9,450,561,796/45,848
  6. Step 6: Final answer
    x = 206,128.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.