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Finding the Third Proportional to 45,403,188,114 and 106,082,338,214

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Solution

The third proportional to 45,403,188,114 and 106,082,338,214 is: 247,856,217,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,403,188,114 : 106,082,338,214 = 106,082,338,214 : x
  2. Step 2: Convert to fraction form
    45,403,188,114/106,082,338,214 = 106,082,338,214/x
  3. Step 3: Cross multiply
    45,403,188,114x = 106,082,338,214 × 106,082,338,214
  4. Step 4: Simplify right side
    45,403,188,114x = 11,253,462,480,949,484,716,032
  5. Step 5: Solve for x
    x = 11,253,462,480,949,484,716,032/45,403,188,114
  6. Step 6: Final answer
    x = 247,856,217,776.91

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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.