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Finding the Third Proportional to 98,077 and 211,704

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Solution

The third proportional to 98,077 and 211,704 is: 456,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,077 : 211,704 = 211,704 : x
  2. Step 2: Convert to fraction form
    98,077/211,704 = 211,704/x
  3. Step 3: Cross multiply
    98,077x = 211,704 × 211,704
  4. Step 4: Simplify right side
    98,077x = 44,818,583,616
  5. Step 5: Solve for x
    x = 44,818,583,616/98,077
  6. Step 6: Final answer
    x = 456,973.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.