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Finding the Third Proportional to 97,044 and 209,671

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Solution

The third proportional to 97,044 and 209,671 is: 453,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,044 : 209,671 = 209,671 : x
  2. Step 2: Convert to fraction form
    97,044/209,671 = 209,671/x
  3. Step 3: Cross multiply
    97,044x = 209,671 × 209,671
  4. Step 4: Simplify right side
    97,044x = 43,961,928,241
  5. Step 5: Solve for x
    x = 43,961,928,241/97,044
  6. Step 6: Final answer
    x = 453,010.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.