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Finding the Third Proportional to 45,025,845 and 98,285,565

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Solution

The third proportional to 45,025,845 and 98,285,565 is: 214,544,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,025,845 : 98,285,565 = 98,285,565 : x
  2. Step 2: Convert to fraction form
    45,025,845/98,285,565 = 98,285,565/x
  3. Step 3: Cross multiply
    45,025,845x = 98,285,565 × 98,285,565
  4. Step 4: Simplify right side
    45,025,845x = 9,660,052,287,369,224
  5. Step 5: Solve for x
    x = 9,660,052,287,369,224/45,025,845
  6. Step 6: Final answer
    x = 214,544,608.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.