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Finding the Third Proportional to 75,689,081 and 165,707,377

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Solution

The third proportional to 75,689,081 and 165,707,377 is: 362,785,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,689,081 : 165,707,377 = 165,707,377 : x
  2. Step 2: Convert to fraction form
    75,689,081/165,707,377 = 165,707,377/x
  3. Step 3: Cross multiply
    75,689,081x = 165,707,377 × 165,707,377
  4. Step 4: Simplify right side
    75,689,081x = 27,458,934,792,220,128
  5. Step 5: Solve for x
    x = 27,458,934,792,220,128/75,689,081
  6. Step 6: Final answer
    x = 362,785,945.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.