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Finding the Third Proportional to 107,894 and 220,070

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Solution

The third proportional to 107,894 and 220,070 is: 448,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,894 : 220,070 = 220,070 : x
  2. Step 2: Convert to fraction form
    107,894/220,070 = 220,070/x
  3. Step 3: Cross multiply
    107,894x = 220,070 × 220,070
  4. Step 4: Simplify right side
    107,894x = 48,430,804,900
  5. Step 5: Solve for x
    x = 48,430,804,900/107,894
  6. Step 6: Final answer
    x = 448,873.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.