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Finding the Third Proportional to 290,868,518 and 463,053,087

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Solution

The third proportional to 290,868,518 and 463,053,087 is: 737,165,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,868,518 : 463,053,087 = 463,053,087 : x
  2. Step 2: Convert to fraction form
    290,868,518/463,053,087 = 463,053,087/x
  3. Step 3: Cross multiply
    290,868,518x = 463,053,087 × 463,053,087
  4. Step 4: Simplify right side
    290,868,518x = 214,418,161,380,229,568
  5. Step 5: Solve for x
    x = 214,418,161,380,229,568/290,868,518
  6. Step 6: Final answer
    x = 737,165,241.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.