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Finding the Third Proportional to 45,107 and 97,899

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Solution

The third proportional to 45,107 and 97,899 is: 212,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,107 : 97,899 = 97,899 : x
  2. Step 2: Convert to fraction form
    45,107/97,899 = 97,899/x
  3. Step 3: Cross multiply
    45,107x = 97,899 × 97,899
  4. Step 4: Simplify right side
    45,107x = 9,584,214,201
  5. Step 5: Solve for x
    x = 9,584,214,201/45,107
  6. Step 6: Final answer
    x = 212,477.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.