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Finding the Third Proportional to 88,073 and 196,316

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Solution

The third proportional to 88,073 and 196,316 is: 437,591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,073 : 196,316 = 196,316 : x
  2. Step 2: Convert to fraction form
    88,073/196,316 = 196,316/x
  3. Step 3: Cross multiply
    88,073x = 196,316 × 196,316
  4. Step 4: Simplify right side
    88,073x = 38,539,971,856
  5. Step 5: Solve for x
    x = 38,539,971,856/88,073
  6. Step 6: Final answer
    x = 437,591.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.