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Finding the Third Proportional to 70,854,531.75 and 105,912,920.25

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Solution

The third proportional to 70,854,531.75 and 105,912,920.25 is: 158,317,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854,531.75 : 105,912,920.25 = 105,912,920.25 : x
  2. Step 2: Convert to fraction form
    70,854,531.75/105,912,920.25 = 105,912,920.25/x
  3. Step 3: Cross multiply
    70,854,531.75x = 105,912,920.25 × 105,912,920.25
  4. Step 4: Simplify right side
    70,854,531.75x = 11,217,546,675,882,860
  5. Step 5: Solve for x
    x = 11,217,546,675,882,860/70,854,531.75
  6. Step 6: Final answer
    x = 158,317,984.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.