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Finding the Third Proportional to 143,179,976 and 310,247,824

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Solution

The third proportional to 143,179,976 and 310,247,824 is: 672,256,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,179,976 : 310,247,824 = 310,247,824 : x
  2. Step 2: Convert to fraction form
    143,179,976/310,247,824 = 310,247,824/x
  3. Step 3: Cross multiply
    143,179,976x = 310,247,824 × 310,247,824
  4. Step 4: Simplify right side
    143,179,976x = 96,253,712,296,734,976
  5. Step 5: Solve for x
    x = 96,253,712,296,734,976/143,179,976
  6. Step 6: Final answer
    x = 672,256,798.65

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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.