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Finding the Third Proportional to 165,543,534 and 351,258,012

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Solution

The third proportional to 165,543,534 and 351,258,012 is: 745,315,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,543,534 : 351,258,012 = 351,258,012 : x
  2. Step 2: Convert to fraction form
    165,543,534/351,258,012 = 351,258,012/x
  3. Step 3: Cross multiply
    165,543,534x = 351,258,012 × 351,258,012
  4. Step 4: Simplify right side
    165,543,534x = 123,382,190,994,192,144
  5. Step 5: Solve for x
    x = 123,382,190,994,192,144/165,543,534
  6. Step 6: Final answer
    x = 745,315,676.26

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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.