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Finding the Third Proportional to 166,999,356 and 345,454,218

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Solution

The third proportional to 166,999,356 and 345,454,218 is: 714,605,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,999,356 : 345,454,218 = 345,454,218 : x
  2. Step 2: Convert to fraction form
    166,999,356/345,454,218 = 345,454,218/x
  3. Step 3: Cross multiply
    166,999,356x = 345,454,218 × 345,454,218
  4. Step 4: Simplify right side
    166,999,356x = 119,338,616,733,991,520
  5. Step 5: Solve for x
    x = 119,338,616,733,991,520/166,999,356
  6. Step 6: Final answer
    x = 714,605,251.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.