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Finding the Third Proportional to 97,012 and 216,704

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Solution

The third proportional to 97,012 and 216,704 is: 484,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,012 : 216,704 = 216,704 : x
  2. Step 2: Convert to fraction form
    97,012/216,704 = 216,704/x
  3. Step 3: Cross multiply
    97,012x = 216,704 × 216,704
  4. Step 4: Simplify right side
    97,012x = 46,960,623,616
  5. Step 5: Solve for x
    x = 46,960,623,616/97,012
  6. Step 6: Final answer
    x = 484,070.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.