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Finding the Third Proportional to 45,156,321 and 96,138,162

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Solution

The third proportional to 45,156,321 and 96,138,162 is: 204,678,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,156,321 : 96,138,162 = 96,138,162 : x
  2. Step 2: Convert to fraction form
    45,156,321/96,138,162 = 96,138,162/x
  3. Step 3: Cross multiply
    45,156,321x = 96,138,162 × 96,138,162
  4. Step 4: Simplify right side
    45,156,321x = 9,242,546,192,738,244
  5. Step 5: Solve for x
    x = 9,242,546,192,738,244/45,156,321
  6. Step 6: Final answer
    x = 204,678,901.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.