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Finding the Third Proportional to 189,615.94 and 407,116.13

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Solution

The third proportional to 189,615.94 and 407,116.13 is: 874,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,615.94 : 407,116.13 = 407,116.13 : x
  2. Step 2: Convert to fraction form
    189,615.94/407,116.13 = 407,116.13/x
  3. Step 3: Cross multiply
    189,615.94x = 407,116.13 × 407,116.13
  4. Step 4: Simplify right side
    189,615.94x = 165,743,539,235.02
  5. Step 5: Solve for x
    x = 165,743,539,235.02/189,615.94
  6. Step 6: Final answer
    x = 874,101.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.