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Finding the Third Proportional to 97,110 and 216,818.50

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Solution

The third proportional to 97,110 and 216,818.50 is: 484,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,110 : 216,818.50 = 216,818.50 : x
  2. Step 2: Convert to fraction form
    97,110/216,818.50 = 216,818.50/x
  3. Step 3: Cross multiply
    97,110x = 216,818.50 × 216,818.50
  4. Step 4: Simplify right side
    97,110x = 47,010,261,942.25
  5. Step 5: Solve for x
    x = 47,010,261,942.25/97,110
  6. Step 6: Final answer
    x = 484,092.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.