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Finding the Third Proportional to 91,688.63 and 194,416.88

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Solution

The third proportional to 91,688.63 and 194,416.88 is: 412,242.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,688.63 : 194,416.88 = 194,416.88 : x
  2. Step 2: Convert to fraction form
    91,688.63/194,416.88 = 194,416.88/x
  3. Step 3: Cross multiply
    91,688.63x = 194,416.88 × 194,416.88
  4. Step 4: Simplify right side
    91,688.63x = 37,797,921,284.77
  5. Step 5: Solve for x
    x = 37,797,921,284.77/91,688.63
  6. Step 6: Final answer
    x = 412,242.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.