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Finding the Third Proportional to 45,403,188,112 and 106,082,338,204

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Solution

The third proportional to 45,403,188,112 and 106,082,338,204 is: 247,856,217,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,403,188,112 : 106,082,338,204 = 106,082,338,204 : x
  2. Step 2: Convert to fraction form
    45,403,188,112/106,082,338,204 = 106,082,338,204/x
  3. Step 3: Cross multiply
    45,403,188,112x = 106,082,338,204 × 106,082,338,204
  4. Step 4: Simplify right side
    45,403,188,112x = 11,253,462,478,827,837,980,672
  5. Step 5: Solve for x
    x = 11,253,462,478,827,837,980,672/45,403,188,112
  6. Step 6: Final answer
    x = 247,856,217,741.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.