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Finding the Third Proportional to 45,094,774 and 96,566,836

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Solution

The third proportional to 45,094,774 and 96,566,836 is: 206,790,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,094,774 : 96,566,836 = 96,566,836 : x
  2. Step 2: Convert to fraction form
    45,094,774/96,566,836 = 96,566,836/x
  3. Step 3: Cross multiply
    45,094,774x = 96,566,836 × 96,566,836
  4. Step 4: Simplify right side
    45,094,774x = 9,325,153,815,050,896
  5. Step 5: Solve for x
    x = 9,325,153,815,050,896/45,094,774
  6. Step 6: Final answer
    x = 206,790,121.96

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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.