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Finding the Third Proportional to 270,213,156.75 and 547,945,310.25

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Solution

The third proportional to 270,213,156.75 and 547,945,310.25 is: 1,111,137,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213,156.75 : 547,945,310.25 = 547,945,310.25 : x
  2. Step 2: Convert to fraction form
    270,213,156.75/547,945,310.25 = 547,945,310.25/x
  3. Step 3: Cross multiply
    270,213,156.75x = 547,945,310.25 × 547,945,310.25
  4. Step 4: Simplify right side
    270,213,156.75x = 300,244,063,024,968,768
  5. Step 5: Solve for x
    x = 300,244,063,024,968,768/270,213,156.75
  6. Step 6: Final answer
    x = 1,111,137,838.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.