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Finding the Third Proportional to 75,104,788 and 160,988,568

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Solution

The third proportional to 75,104,788 and 160,988,568 is: 345,082,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104,788 : 160,988,568 = 160,988,568 : x
  2. Step 2: Convert to fraction form
    75,104,788/160,988,568 = 160,988,568/x
  3. Step 3: Cross multiply
    75,104,788x = 160,988,568 × 160,988,568
  4. Step 4: Simplify right side
    75,104,788x = 25,917,319,026,690,624
  5. Step 5: Solve for x
    x = 25,917,319,026,690,624/75,104,788
  6. Step 6: Final answer
    x = 345,082,114.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.