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Finding the Third Proportional to 97,438.50 and 212,511

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Solution

The third proportional to 97,438.50 and 212,511 is: 463,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,438.50 : 212,511 = 212,511 : x
  2. Step 2: Convert to fraction form
    97,438.50/212,511 = 212,511/x
  3. Step 3: Cross multiply
    97,438.50x = 212,511 × 212,511
  4. Step 4: Simplify right side
    97,438.50x = 45,160,925,121
  5. Step 5: Solve for x
    x = 45,160,925,121/97,438.50
  6. Step 6: Final answer
    x = 463,481.33

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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.