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Finding the Third Proportional to 69,321,038 and 96,910,100

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Solution

The third proportional to 69,321,038 and 96,910,100 is: 135,479,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,321,038 : 96,910,100 = 96,910,100 : x
  2. Step 2: Convert to fraction form
    69,321,038/96,910,100 = 96,910,100/x
  3. Step 3: Cross multiply
    69,321,038x = 96,910,100 × 96,910,100
  4. Step 4: Simplify right side
    69,321,038x = 9,391,567,482,010,000
  5. Step 5: Solve for x
    x = 9,391,567,482,010,000/69,321,038
  6. Step 6: Final answer
    x = 135,479,325.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.