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Finding the Third Proportional to 68,920,993 and 106,704,865.50

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Solution

The third proportional to 68,920,993 and 106,704,865.50 is: 165,202,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,920,993 : 106,704,865.50 = 106,704,865.50 : x
  2. Step 2: Convert to fraction form
    68,920,993/106,704,865.50 = 106,704,865.50/x
  3. Step 3: Cross multiply
    68,920,993x = 106,704,865.50 × 106,704,865.50
  4. Step 4: Simplify right side
    68,920,993x = 11,385,928,321,373,090
  5. Step 5: Solve for x
    x = 11,385,928,321,373,090/68,920,993
  6. Step 6: Final answer
    x = 165,202,615.72

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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.