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Finding the Third Proportional to 80,168,478 and 171,674,352

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Solution

The third proportional to 80,168,478 and 171,674,352 is: 367,626,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,168,478 : 171,674,352 = 171,674,352 : x
  2. Step 2: Convert to fraction form
    80,168,478/171,674,352 = 171,674,352/x
  3. Step 3: Cross multiply
    80,168,478x = 171,674,352 × 171,674,352
  4. Step 4: Simplify right side
    80,168,478x = 29,472,083,134,619,904
  5. Step 5: Solve for x
    x = 29,472,083,134,619,904/80,168,478
  6. Step 6: Final answer
    x = 367,626,826.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.