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Finding the Third Proportional to 109,279,302 and 232,716,324

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Solution

The third proportional to 109,279,302 and 232,716,324 is: 495,582,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,279,302 : 232,716,324 = 232,716,324 : x
  2. Step 2: Convert to fraction form
    109,279,302/232,716,324 = 232,716,324/x
  3. Step 3: Cross multiply
    109,279,302x = 232,716,324 × 232,716,324
  4. Step 4: Simplify right side
    109,279,302x = 54,156,887,456,072,976
  5. Step 5: Solve for x
    x = 54,156,887,456,072,976/109,279,302
  6. Step 6: Final answer
    x = 495,582,296.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.