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Finding the Third Proportional to 269,195,049.26 and 584,332,988.45

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Solution

The third proportional to 269,195,049.26 and 584,332,988.45 is: 1,268,392,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,195,049.26 : 584,332,988.45 = 584,332,988.45 : x
  2. Step 2: Convert to fraction form
    269,195,049.26/584,332,988.45 = 584,332,988.45/x
  3. Step 3: Cross multiply
    269,195,049.26x = 584,332,988.45 × 584,332,988.45
  4. Step 4: Simplify right side
    269,195,049.26x = 341,445,041,389,996,224
  5. Step 5: Solve for x
    x = 341,445,041,389,996,224/269,195,049.26
  6. Step 6: Final answer
    x = 1,268,392,722.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.