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Finding the Third Proportional to 64,511.44 and 98,458.03

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Solution

The third proportional to 64,511.44 and 98,458.03 is: 150,267.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,511.44 : 98,458.03 = 98,458.03 : x
  2. Step 2: Convert to fraction form
    64,511.44/98,458.03 = 98,458.03/x
  3. Step 3: Cross multiply
    64,511.44x = 98,458.03 × 98,458.03
  4. Step 4: Simplify right side
    64,511.44x = 9,693,983,917.63
  5. Step 5: Solve for x
    x = 9,693,983,917.63/64,511.44
  6. Step 6: Final answer
    x = 150,267.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.