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Finding the Third Proportional to 122,653,608.75 and 269,138,763.75

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Solution

The third proportional to 122,653,608.75 and 269,138,763.75 is: 590,571,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,653,608.75 : 269,138,763.75 = 269,138,763.75 : x
  2. Step 2: Convert to fraction form
    122,653,608.75/269,138,763.75 = 269,138,763.75/x
  3. Step 3: Cross multiply
    122,653,608.75x = 269,138,763.75 × 269,138,763.75
  4. Step 4: Simplify right side
    122,653,608.75x = 72,435,674,152,878,320
  5. Step 5: Solve for x
    x = 72,435,674,152,878,320/122,653,608.75
  6. Step 6: Final answer
    x = 590,571,079.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.