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Finding the Third Proportional to 97,552 and 209,660

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Solution

The third proportional to 97,552 and 209,660 is: 450,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,552 : 209,660 = 209,660 : x
  2. Step 2: Convert to fraction form
    97,552/209,660 = 209,660/x
  3. Step 3: Cross multiply
    97,552x = 209,660 × 209,660
  4. Step 4: Simplify right side
    97,552x = 43,957,315,600
  5. Step 5: Solve for x
    x = 43,957,315,600/97,552
  6. Step 6: Final answer
    x = 450,603.94

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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.