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Finding the Third Proportional to 129,908,819.25 and 269,025,998.63

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Solution

The third proportional to 129,908,819.25 and 269,025,998.63 is: 557,121,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908,819.25 : 269,025,998.63 = 269,025,998.63 : x
  2. Step 2: Convert to fraction form
    129,908,819.25/269,025,998.63 = 269,025,998.63/x
  3. Step 3: Cross multiply
    129,908,819.25x = 269,025,998.63 × 269,025,998.63
  4. Step 4: Simplify right side
    129,908,819.25x = 72,374,987,936,178,496
  5. Step 5: Solve for x
    x = 72,374,987,936,178,496/129,908,819.25
  6. Step 6: Final answer
    x = 557,121,436.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.