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Finding the Third Proportional to 97,116 and 211,884

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Solution

The third proportional to 97,116 and 211,884 is: 462,280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116 : 211,884 = 211,884 : x
  2. Step 2: Convert to fraction form
    97,116/211,884 = 211,884/x
  3. Step 3: Cross multiply
    97,116x = 211,884 × 211,884
  4. Step 4: Simplify right side
    97,116x = 44,894,829,456
  5. Step 5: Solve for x
    x = 44,894,829,456/97,116
  6. Step 6: Final answer
    x = 462,280.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.