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Finding the Third Proportional to 97,576 and 218,576

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Solution

The third proportional to 97,576 and 218,576 is: 489,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,576 : 218,576 = 218,576 : x
  2. Step 2: Convert to fraction form
    97,576/218,576 = 218,576/x
  3. Step 3: Cross multiply
    97,576x = 218,576 × 218,576
  4. Step 4: Simplify right side
    97,576x = 47,775,467,776
  5. Step 5: Solve for x
    x = 47,775,467,776/97,576
  6. Step 6: Final answer
    x = 489,623.14

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.