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Finding the Third Proportional to 45,464.06 and 98,703.56

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Solution

The third proportional to 45,464.06 and 98,703.56 is: 214,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,464.06 : 98,703.56 = 98,703.56 : x
  2. Step 2: Convert to fraction form
    45,464.06/98,703.56 = 98,703.56/x
  3. Step 3: Cross multiply
    45,464.06x = 98,703.56 × 98,703.56
  4. Step 4: Simplify right side
    45,464.06x = 9,742,393,250.19
  5. Step 5: Solve for x
    x = 9,742,393,250.19/45,464.06
  6. Step 6: Final answer
    x = 214,287.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.