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Finding the Third Proportional to 80,168,472 and 171,674,340

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Solution

The third proportional to 80,168,472 and 171,674,340 is: 367,626,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,168,472 : 171,674,340 = 171,674,340 : x
  2. Step 2: Convert to fraction form
    80,168,472/171,674,340 = 171,674,340/x
  3. Step 3: Cross multiply
    80,168,472x = 171,674,340 × 171,674,340
  4. Step 4: Simplify right side
    80,168,472x = 29,472,079,014,435,600
  5. Step 5: Solve for x
    x = 29,472,079,014,435,600/80,168,472
  6. Step 6: Final answer
    x = 367,626,802.40

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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.