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Finding the Third Proportional to 97,993.88 and 214,671

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Solution

The third proportional to 97,993.88 and 214,671 is: 470,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,993.88 : 214,671 = 214,671 : x
  2. Step 2: Convert to fraction form
    97,993.88/214,671 = 214,671/x
  3. Step 3: Cross multiply
    97,993.88x = 214,671 × 214,671
  4. Step 4: Simplify right side
    97,993.88x = 46,083,638,241
  5. Step 5: Solve for x
    x = 46,083,638,241/97,993.88
  6. Step 6: Final answer
    x = 470,270.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.