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Finding the Third Proportional to 69,919,992 and 105,850,612

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Solution

The third proportional to 69,919,992 and 105,850,612 is: 160,245,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,919,992 : 105,850,612 = 105,850,612 : x
  2. Step 2: Convert to fraction form
    69,919,992/105,850,612 = 105,850,612/x
  3. Step 3: Cross multiply
    69,919,992x = 105,850,612 × 105,850,612
  4. Step 4: Simplify right side
    69,919,992x = 11,204,352,060,774,544
  5. Step 5: Solve for x
    x = 11,204,352,060,774,544/69,919,992
  6. Step 6: Final answer
    x = 160,245,328.13

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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.