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Finding the Third Proportional to 165,543,536 and 351,258,016

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Solution

The third proportional to 165,543,536 and 351,258,016 is: 745,315,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,543,536 : 351,258,016 = 351,258,016 : x
  2. Step 2: Convert to fraction form
    165,543,536/351,258,016 = 351,258,016/x
  3. Step 3: Cross multiply
    165,543,536x = 351,258,016 × 351,258,016
  4. Step 4: Simplify right side
    165,543,536x = 123,382,193,804,256,256
  5. Step 5: Solve for x
    x = 123,382,193,804,256,256/165,543,536
  6. Step 6: Final answer
    x = 745,315,684.23

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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.