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Finding the Third Proportional to 45,016 and 97,010

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Solution

The third proportional to 45,016 and 97,010 is: 209,057.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,016 : 97,010 = 97,010 : x
  2. Step 2: Convert to fraction form
    45,016/97,010 = 97,010/x
  3. Step 3: Cross multiply
    45,016x = 97,010 × 97,010
  4. Step 4: Simplify right side
    45,016x = 9,410,940,100
  5. Step 5: Solve for x
    x = 9,410,940,100/45,016
  6. Step 6: Final answer
    x = 209,057.67

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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.