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Finding the Third Proportional to 97,421.17 and 209,348.30

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Solution

The third proportional to 97,421.17 and 209,348.30 is: 449,868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,421.17 : 209,348.30 = 209,348.30 : x
  2. Step 2: Convert to fraction form
    97,421.17/209,348.30 = 209,348.30/x
  3. Step 3: Cross multiply
    97,421.17x = 209,348.30 × 209,348.30
  4. Step 4: Simplify right side
    97,421.17x = 43,826,709,404.46
  5. Step 5: Solve for x
    x = 43,826,709,404.46/97,421.17
  6. Step 6: Final answer
    x = 449,868.45

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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.