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Finding the Third Proportional to 97,321.50 and 197,316

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Solution

The third proportional to 97,321.50 and 197,316 is: 400,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.50 : 197,316 = 197,316 : x
  2. Step 2: Convert to fraction form
    97,321.50/197,316 = 197,316/x
  3. Step 3: Cross multiply
    97,321.50x = 197,316 × 197,316
  4. Step 4: Simplify right side
    97,321.50x = 38,933,603,856
  5. Step 5: Solve for x
    x = 38,933,603,856/97,321.50
  6. Step 6: Final answer
    x = 400,051.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.