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Finding the Third Proportional to 97,277.44 and 213,007.69

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Solution

The third proportional to 97,277.44 and 213,007.69 is: 466,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,277.44 : 213,007.69 = 213,007.69 : x
  2. Step 2: Convert to fraction form
    97,277.44/213,007.69 = 213,007.69/x
  3. Step 3: Cross multiply
    97,277.44x = 213,007.69 × 213,007.69
  4. Step 4: Simplify right side
    97,277.44x = 45,372,274,934.10
  5. Step 5: Solve for x
    x = 45,372,274,934.10/97,277.44
  6. Step 6: Final answer
    x = 466,421.36

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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.