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Finding the Third Proportional to 97,236 and 211,072.50

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Solution

The third proportional to 97,236 and 211,072.50 is: 458,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,236 : 211,072.50 = 211,072.50 : x
  2. Step 2: Convert to fraction form
    97,236/211,072.50 = 211,072.50/x
  3. Step 3: Cross multiply
    97,236x = 211,072.50 × 211,072.50
  4. Step 4: Simplify right side
    97,236x = 44,551,600,256.25
  5. Step 5: Solve for x
    x = 44,551,600,256.25/97,236
  6. Step 6: Final answer
    x = 458,180.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.