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Finding the Third Proportional to 97,118.50 and 211,328

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Solution

The third proportional to 97,118.50 and 211,328 is: 459,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,118.50 : 211,328 = 211,328 : x
  2. Step 2: Convert to fraction form
    97,118.50/211,328 = 211,328/x
  3. Step 3: Cross multiply
    97,118.50x = 211,328 × 211,328
  4. Step 4: Simplify right side
    97,118.50x = 44,659,523,584
  5. Step 5: Solve for x
    x = 44,659,523,584/97,118.50
  6. Step 6: Final answer
    x = 459,845.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.