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Finding the Third Proportional to 98,437 and 214,106

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Solution

The third proportional to 98,437 and 214,106 is: 465,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,437 : 214,106 = 214,106 : x
  2. Step 2: Convert to fraction form
    98,437/214,106 = 214,106/x
  3. Step 3: Cross multiply
    98,437x = 214,106 × 214,106
  4. Step 4: Simplify right side
    98,437x = 45,841,379,236
  5. Step 5: Solve for x
    x = 45,841,379,236/98,437
  6. Step 6: Final answer
    x = 465,692.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.