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Finding the Third Proportional to 120,757,542 and 265,238,250

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Solution

The third proportional to 120,757,542 and 265,238,250 is: 582,583,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757,542 : 265,238,250 = 265,238,250 : x
  2. Step 2: Convert to fraction form
    120,757,542/265,238,250 = 265,238,250/x
  3. Step 3: Cross multiply
    120,757,542x = 265,238,250 × 265,238,250
  4. Step 4: Simplify right side
    120,757,542x = 70,351,329,263,062,496
  5. Step 5: Solve for x
    x = 70,351,329,263,062,496/120,757,542
  6. Step 6: Final answer
    x = 582,583,316.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.