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Finding the Third Proportional to 97,277.63 and 209,565

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Solution

The third proportional to 97,277.63 and 209,565 is: 451,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,277.63 : 209,565 = 209,565 : x
  2. Step 2: Convert to fraction form
    97,277.63/209,565 = 209,565/x
  3. Step 3: Cross multiply
    97,277.63x = 209,565 × 209,565
  4. Step 4: Simplify right side
    97,277.63x = 43,917,489,225
  5. Step 5: Solve for x
    x = 43,917,489,225/97,277.63
  6. Step 6: Final answer
    x = 451,465.48

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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.