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Finding the Third Proportional to 97,108 and 211,870

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Solution

The third proportional to 97,108 and 211,870 is: 462,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,108 : 211,870 = 211,870 : x
  2. Step 2: Convert to fraction form
    97,108/211,870 = 211,870/x
  3. Step 3: Cross multiply
    97,108x = 211,870 × 211,870
  4. Step 4: Simplify right side
    97,108x = 44,888,896,900
  5. Step 5: Solve for x
    x = 44,888,896,900/97,108
  6. Step 6: Final answer
    x = 462,257.45

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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.