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Finding the Third Proportional to 83,593,974 and 177,344,370

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Solution

The third proportional to 83,593,974 and 177,344,370 is: 376,235,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,593,974 : 177,344,370 = 177,344,370 : x
  2. Step 2: Convert to fraction form
    83,593,974/177,344,370 = 177,344,370/x
  3. Step 3: Cross multiply
    83,593,974x = 177,344,370 × 177,344,370
  4. Step 4: Simplify right side
    83,593,974x = 31,451,025,570,696,900
  5. Step 5: Solve for x
    x = 31,451,025,570,696,900/83,593,974
  6. Step 6: Final answer
    x = 376,235,559.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.