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Finding the Third Proportional to 186,206,922 and 404,645,040

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Solution

The third proportional to 186,206,922 and 404,645,040 is: 879,331,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,206,922 : 404,645,040 = 404,645,040 : x
  2. Step 2: Convert to fraction form
    186,206,922/404,645,040 = 404,645,040/x
  3. Step 3: Cross multiply
    186,206,922x = 404,645,040 × 404,645,040
  4. Step 4: Simplify right side
    186,206,922x = 163,737,608,396,601,600
  5. Step 5: Solve for x
    x = 163,737,608,396,601,600/186,206,922
  6. Step 6: Final answer
    x = 879,331,480.47

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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.