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Finding the Third Proportional to 89,311.50 and 190,904.63

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Solution

The third proportional to 89,311.50 and 190,904.63 is: 408,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,311.50 : 190,904.63 = 190,904.63 : x
  2. Step 2: Convert to fraction form
    89,311.50/190,904.63 = 190,904.63/x
  3. Step 3: Cross multiply
    89,311.50x = 190,904.63 × 190,904.63
  4. Step 4: Simplify right side
    89,311.50x = 36,444,575,846.39
  5. Step 5: Solve for x
    x = 36,444,575,846.39/89,311.50
  6. Step 6: Final answer
    x = 408,061.40

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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.