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Finding the Third Proportional to 97,330 and 209,852

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Solution

The third proportional to 97,330 and 209,852 is: 452,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,330 : 209,852 = 209,852 : x
  2. Step 2: Convert to fraction form
    97,330/209,852 = 209,852/x
  3. Step 3: Cross multiply
    97,330x = 209,852 × 209,852
  4. Step 4: Simplify right side
    97,330x = 44,037,861,904
  5. Step 5: Solve for x
    x = 44,037,861,904/97,330
  6. Step 6: Final answer
    x = 452,459.28

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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.