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Finding the Third Proportional to 97,355 and 209,776

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Solution

The third proportional to 97,355 and 209,776 is: 452,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,355 : 209,776 = 209,776 : x
  2. Step 2: Convert to fraction form
    97,355/209,776 = 209,776/x
  3. Step 3: Cross multiply
    97,355x = 209,776 × 209,776
  4. Step 4: Simplify right side
    97,355x = 44,005,970,176
  5. Step 5: Solve for x
    x = 44,005,970,176/97,355
  6. Step 6: Final answer
    x = 452,015.51

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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.