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Finding the Third Proportional to 44,796,391,344 and 95,982,376,189.50

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Solution

The third proportional to 44,796,391,344 and 95,982,376,189.50 is: 205,655,327,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,796,391,344 : 95,982,376,189.50 = 95,982,376,189.50 : x
  2. Step 2: Convert to fraction form
    44,796,391,344/95,982,376,189.50 = 95,982,376,189.50/x
  3. Step 3: Cross multiply
    44,796,391,344x = 95,982,376,189.50 × 95,982,376,189.50
  4. Step 4: Simplify right side
    44,796,391,344x = 9,212,616,538,982,696,615,936
  5. Step 5: Solve for x
    x = 9,212,616,538,982,696,615,936/44,796,391,344
  6. Step 6: Final answer
    x = 205,655,327,640.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.