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Finding the Third Proportional to 69,920,020.50 and 105,850,572.75

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Solution

The third proportional to 69,920,020.50 and 105,850,572.75 is: 160,245,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,920,020.50 : 105,850,572.75 = 105,850,572.75 : x
  2. Step 2: Convert to fraction form
    69,920,020.50/105,850,572.75 = 105,850,572.75/x
  3. Step 3: Cross multiply
    69,920,020.50x = 105,850,572.75 × 105,850,572.75
  4. Step 4: Simplify right side
    69,920,020.50x = 11,204,343,751,503,042
  5. Step 5: Solve for x
    x = 11,204,343,751,503,042/69,920,020.50
  6. Step 6: Final answer
    x = 160,245,143.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.