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Finding the Third Proportional to 46,132.03 and 100,807.03

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Solution

The third proportional to 46,132.03 and 100,807.03 is: 220,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,132.03 : 100,807.03 = 100,807.03 : x
  2. Step 2: Convert to fraction form
    46,132.03/100,807.03 = 100,807.03/x
  3. Step 3: Cross multiply
    46,132.03x = 100,807.03 × 100,807.03
  4. Step 4: Simplify right side
    46,132.03x = 10,162,057,549.44
  5. Step 5: Solve for x
    x = 10,162,057,549.44/46,132.03
  6. Step 6: Final answer
    x = 220,282.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.