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Finding the Third Proportional to 97,616 and 213,132

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Solution

The third proportional to 97,616 and 213,132 is: 465,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,616 : 213,132 = 213,132 : x
  2. Step 2: Convert to fraction form
    97,616/213,132 = 213,132/x
  3. Step 3: Cross multiply
    97,616x = 213,132 × 213,132
  4. Step 4: Simplify right side
    97,616x = 45,425,249,424
  5. Step 5: Solve for x
    x = 45,425,249,424/97,616
  6. Step 6: Final answer
    x = 465,346.35

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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.