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Finding the Third Proportional to 99,894 and 212,501.25

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Solution

The third proportional to 99,894 and 212,501.25 is: 452,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,894 : 212,501.25 = 212,501.25 : x
  2. Step 2: Convert to fraction form
    99,894/212,501.25 = 212,501.25/x
  3. Step 3: Cross multiply
    99,894x = 212,501.25 × 212,501.25
  4. Step 4: Simplify right side
    99,894x = 45,156,781,251.56
  5. Step 5: Solve for x
    x = 45,156,781,251.56/99,894
  6. Step 6: Final answer
    x = 452,046.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.