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Finding the Third Proportional to 97,271 and 209,072.50

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Solution

The third proportional to 97,271 and 209,072.50 is: 449,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,271 : 209,072.50 = 209,072.50 : x
  2. Step 2: Convert to fraction form
    97,271/209,072.50 = 209,072.50/x
  3. Step 3: Cross multiply
    97,271x = 209,072.50 × 209,072.50
  4. Step 4: Simplify right side
    97,271x = 43,711,310,256.25
  5. Step 5: Solve for x
    x = 43,711,310,256.25/97,271
  6. Step 6: Final answer
    x = 449,376.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.