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Finding the Third Proportional to 44,187,768 and 96,024,216

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Solution

The third proportional to 44,187,768 and 96,024,216 is: 208,669,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,187,768 : 96,024,216 = 96,024,216 : x
  2. Step 2: Convert to fraction form
    44,187,768/96,024,216 = 96,024,216/x
  3. Step 3: Cross multiply
    44,187,768x = 96,024,216 × 96,024,216
  4. Step 4: Simplify right side
    44,187,768x = 9,220,650,058,414,656
  5. Step 5: Solve for x
    x = 9,220,650,058,414,656/44,187,768
  6. Step 6: Final answer
    x = 208,669,739.97

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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.