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Finding the Third Proportional to 68,920,994 and 106,704,867

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Solution

The third proportional to 68,920,994 and 106,704,867 is: 165,202,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,920,994 : 106,704,867 = 106,704,867 : x
  2. Step 2: Convert to fraction form
    68,920,994/106,704,867 = 106,704,867/x
  3. Step 3: Cross multiply
    68,920,994x = 106,704,867 × 106,704,867
  4. Step 4: Simplify right side
    68,920,994x = 11,385,928,641,487,688
  5. Step 5: Solve for x
    x = 11,385,928,641,487,688/68,920,994
  6. Step 6: Final answer
    x = 165,202,617.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.