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Finding the Third Proportional to 65,498,193 and 98,295,242

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Solution

The third proportional to 65,498,193 and 98,295,242 is: 147,514,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498,193 : 98,295,242 = 98,295,242 : x
  2. Step 2: Convert to fraction form
    65,498,193/98,295,242 = 98,295,242/x
  3. Step 3: Cross multiply
    65,498,193x = 98,295,242 × 98,295,242
  4. Step 4: Simplify right side
    65,498,193x = 9,661,954,599,838,564
  5. Step 5: Solve for x
    x = 9,661,954,599,838,564/65,498,193
  6. Step 6: Final answer
    x = 147,514,826.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.