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Finding the Third Proportional to 97,416 and 202,487

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Solution

The third proportional to 97,416 and 202,487 is: 420,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,416 : 202,487 = 202,487 : x
  2. Step 2: Convert to fraction form
    97,416/202,487 = 202,487/x
  3. Step 3: Cross multiply
    97,416x = 202,487 × 202,487
  4. Step 4: Simplify right side
    97,416x = 41,000,985,169
  5. Step 5: Solve for x
    x = 41,000,985,169/97,416
  6. Step 6: Final answer
    x = 420,885.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.