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Finding the Third Proportional to 68,983,193 and 108,214,424

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Solution

The third proportional to 68,983,193 and 108,214,424 is: 169,756,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,983,193 : 108,214,424 = 108,214,424 : x
  2. Step 2: Convert to fraction form
    68,983,193/108,214,424 = 108,214,424/x
  3. Step 3: Cross multiply
    68,983,193x = 108,214,424 × 108,214,424
  4. Step 4: Simplify right side
    68,983,193x = 11,710,361,561,651,776
  5. Step 5: Solve for x
    x = 11,710,361,561,651,776/68,983,193
  6. Step 6: Final answer
    x = 169,756,734.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.