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Finding the Third Proportional to 45,284,052 and 97,738,182

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Solution

The third proportional to 45,284,052 and 97,738,182 is: 210,951,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,284,052 : 97,738,182 = 97,738,182 : x
  2. Step 2: Convert to fraction form
    45,284,052/97,738,182 = 97,738,182/x
  3. Step 3: Cross multiply
    45,284,052x = 97,738,182 × 97,738,182
  4. Step 4: Simplify right side
    45,284,052x = 9,552,752,220,665,124
  5. Step 5: Solve for x
    x = 9,552,752,220,665,124/45,284,052
  6. Step 6: Final answer
    x = 210,951,798.67

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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.