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Finding the Third Proportional to 80,168,476 and 171,674,348

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Solution

The third proportional to 80,168,476 and 171,674,348 is: 367,626,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,168,476 : 171,674,348 = 171,674,348 : x
  2. Step 2: Convert to fraction form
    80,168,476/171,674,348 = 171,674,348/x
  3. Step 3: Cross multiply
    80,168,476x = 171,674,348 × 171,674,348
  4. Step 4: Simplify right side
    80,168,476x = 29,472,081,761,225,104
  5. Step 5: Solve for x
    x = 29,472,081,761,225,104/80,168,476
  6. Step 6: Final answer
    x = 367,626,818.32

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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.