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Finding the Third Proportional to 97,050 and 213,648

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Solution

The third proportional to 97,050 and 213,648 is: 470,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,050 : 213,648 = 213,648 : x
  2. Step 2: Convert to fraction form
    97,050/213,648 = 213,648/x
  3. Step 3: Cross multiply
    97,050x = 213,648 × 213,648
  4. Step 4: Simplify right side
    97,050x = 45,645,467,904
  5. Step 5: Solve for x
    x = 45,645,467,904/97,050
  6. Step 6: Final answer
    x = 470,329.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.