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Finding the Third Proportional to 45,045 and 97,308

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Solution

The third proportional to 45,045 and 97,308 is: 210,208.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,045 : 97,308 = 97,308 : x
  2. Step 2: Convert to fraction form
    45,045/97,308 = 97,308/x
  3. Step 3: Cross multiply
    45,045x = 97,308 × 97,308
  4. Step 4: Simplify right side
    45,045x = 9,468,846,864
  5. Step 5: Solve for x
    x = 9,468,846,864/45,045
  6. Step 6: Final answer
    x = 210,208.61

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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.