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Finding the Third Proportional to 88,369.54 and 190,746.34

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Solution

The third proportional to 88,369.54 and 190,746.34 is: 411,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,369.54 : 190,746.34 = 190,746.34 : x
  2. Step 2: Convert to fraction form
    88,369.54/190,746.34 = 190,746.34/x
  3. Step 3: Cross multiply
    88,369.54x = 190,746.34 × 190,746.34
  4. Step 4: Simplify right side
    88,369.54x = 36,384,165,604.96
  5. Step 5: Solve for x
    x = 36,384,165,604.96/88,369.54
  6. Step 6: Final answer
    x = 411,727.47

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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.