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Finding the Third Proportional to 44,187,770 and 96,024,220

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Solution

The third proportional to 44,187,770 and 96,024,220 is: 208,669,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,187,770 : 96,024,220 = 96,024,220 : x
  2. Step 2: Convert to fraction form
    44,187,770/96,024,220 = 96,024,220/x
  3. Step 3: Cross multiply
    44,187,770x = 96,024,220 × 96,024,220
  4. Step 4: Simplify right side
    44,187,770x = 9,220,650,826,608,400
  5. Step 5: Solve for x
    x = 9,220,650,826,608,400/44,187,770
  6. Step 6: Final answer
    x = 208,669,747.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.