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Finding the Third Proportional to 243,340,788 and 541,087,512

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Solution

The third proportional to 243,340,788 and 541,087,512 is: 1,203,150,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,340,788 : 541,087,512 = 541,087,512 : x
  2. Step 2: Convert to fraction form
    243,340,788/541,087,512 = 541,087,512/x
  3. Step 3: Cross multiply
    243,340,788x = 541,087,512 × 541,087,512
  4. Step 4: Simplify right side
    243,340,788x = 292,775,695,642,350,144
  5. Step 5: Solve for x
    x = 292,775,695,642,350,144/243,340,788
  6. Step 6: Final answer
    x = 1,203,150,931.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.