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Finding the Third Proportional to 94,246.03 and 201,796.31

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Solution

The third proportional to 94,246.03 and 201,796.31 is: 432,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,246.03 : 201,796.31 = 201,796.31 : x
  2. Step 2: Convert to fraction form
    94,246.03/201,796.31 = 201,796.31/x
  3. Step 3: Cross multiply
    94,246.03x = 201,796.31 × 201,796.31
  4. Step 4: Simplify right side
    94,246.03x = 40,721,751,738.60
  5. Step 5: Solve for x
    x = 40,721,751,738.60/94,246.03
  6. Step 6: Final answer
    x = 432,079.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.