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Finding the Third Proportional to 45,284,054 and 97,738,186

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Solution

The third proportional to 45,284,054 and 97,738,186 is: 210,951,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,054 : 97,738,186 = 97,738,186 : x
  2. Step 2: Convert to fraction form
    45,284,054/97,738,186 = 97,738,186/x
  3. Step 3: Cross multiply
    45,284,054x = 97,738,186 × 97,738,186
  4. Step 4: Simplify right side
    45,284,054x = 9,552,753,002,570,596
  5. Step 5: Solve for x
    x = 9,552,753,002,570,596/45,284,054
  6. Step 6: Final answer
    x = 210,951,806.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.