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Finding the Third Proportional to 45,403,188,106 and 106,082,338,194

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Solution

The third proportional to 45,403,188,106 and 106,082,338,194 is: 247,856,217,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,403,188,106 : 106,082,338,194 = 106,082,338,194 : x
  2. Step 2: Convert to fraction form
    45,403,188,106/106,082,338,194 = 106,082,338,194/x
  3. Step 3: Cross multiply
    45,403,188,106x = 106,082,338,194 × 106,082,338,194
  4. Step 4: Simplify right side
    45,403,188,106x = 11,253,462,476,706,191,245,312
  5. Step 5: Solve for x
    x = 11,253,462,476,706,191,245,312/45,403,188,106
  6. Step 6: Final answer
    x = 247,856,217,727.12

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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.