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Finding the Third Proportional to 45,221.63 and 95,536.13

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Solution

The third proportional to 45,221.63 and 95,536.13 is: 201,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,221.63 : 95,536.13 = 95,536.13 : x
  2. Step 2: Convert to fraction form
    45,221.63/95,536.13 = 95,536.13/x
  3. Step 3: Cross multiply
    45,221.63x = 95,536.13 × 95,536.13
  4. Step 4: Simplify right side
    45,221.63x = 9,127,151,180.02
  5. Step 5: Solve for x
    x = 9,127,151,180.02/45,221.63
  6. Step 6: Final answer
    x = 201,831.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.