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Finding the Third Proportional to 69,714,904 and 153,188,360

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Solution

The third proportional to 69,714,904 and 153,188,360 is: 336,609,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,714,904 : 153,188,360 = 153,188,360 : x
  2. Step 2: Convert to fraction form
    69,714,904/153,188,360 = 153,188,360/x
  3. Step 3: Cross multiply
    69,714,904x = 153,188,360 × 153,188,360
  4. Step 4: Simplify right side
    69,714,904x = 23,466,673,639,489,600
  5. Step 5: Solve for x
    x = 23,466,673,639,489,600/69,714,904
  6. Step 6: Final answer
    x = 336,609,136.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.