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Finding the Third Proportional to 83,275,137 and 180,436,434

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Solution

The third proportional to 83,275,137 and 180,436,434 is: 390,960,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,275,137 : 180,436,434 = 180,436,434 : x
  2. Step 2: Convert to fraction form
    83,275,137/180,436,434 = 180,436,434/x
  3. Step 3: Cross multiply
    83,275,137x = 180,436,434 × 180,436,434
  4. Step 4: Simplify right side
    83,275,137x = 32,557,306,714,636,356
  5. Step 5: Solve for x
    x = 32,557,306,714,636,356/83,275,137
  6. Step 6: Final answer
    x = 390,960,710.33

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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.