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Finding the Third Proportional to 45,905,540.06 and 96,992,083.13

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Solution

The third proportional to 45,905,540.06 and 96,992,083.13 is: 204,930,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905,540.06 : 96,992,083.13 = 96,992,083.13 : x
  2. Step 2: Convert to fraction form
    45,905,540.06/96,992,083.13 = 96,992,083.13/x
  3. Step 3: Cross multiply
    45,905,540.06x = 96,992,083.13 × 96,992,083.13
  4. Step 4: Simplify right side
    45,905,540.06x = 9,407,464,188,926,910
  5. Step 5: Solve for x
    x = 9,407,464,188,926,910/45,905,540.06
  6. Step 6: Final answer
    x = 204,930,911.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.