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Finding the Third Proportional to 45,036 and 95,610.38

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Solution

The third proportional to 45,036 and 95,610.38 is: 202,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,036 : 95,610.38 = 95,610.38 : x
  2. Step 2: Convert to fraction form
    45,036/95,610.38 = 95,610.38/x
  3. Step 3: Cross multiply
    45,036x = 95,610.38 × 95,610.38
  4. Step 4: Simplify right side
    45,036x = 9,141,343,807.64
  5. Step 5: Solve for x
    x = 9,141,343,807.64/45,036
  6. Step 6: Final answer
    x = 202,978.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.