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Finding the Third Proportional to 97,220 and 228,911

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Solution

The third proportional to 97,220 and 228,911 is: 538,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,220 : 228,911 = 228,911 : x
  2. Step 2: Convert to fraction form
    97,220/228,911 = 228,911/x
  3. Step 3: Cross multiply
    97,220x = 228,911 × 228,911
  4. Step 4: Simplify right side
    97,220x = 52,400,245,921
  5. Step 5: Solve for x
    x = 52,400,245,921/97,220
  6. Step 6: Final answer
    x = 538,986.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.