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Finding the Third Proportional to 80,360,516 and 174,420,418

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Solution

The third proportional to 80,360,516 and 174,420,418 is: 378,574,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360,516 : 174,420,418 = 174,420,418 : x
  2. Step 2: Convert to fraction form
    80,360,516/174,420,418 = 174,420,418/x
  3. Step 3: Cross multiply
    80,360,516x = 174,420,418 × 174,420,418
  4. Step 4: Simplify right side
    80,360,516x = 30,422,482,215,294,724
  5. Step 5: Solve for x
    x = 30,422,482,215,294,724/80,360,516
  6. Step 6: Final answer
    x = 378,574,998.39

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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.