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Finding the Third Proportional to 50,547.80 and 110,014.45

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Solution

The third proportional to 50,547.80 and 110,014.45 is: 239,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.80 : 110,014.45 = 110,014.45 : x
  2. Step 2: Convert to fraction form
    50,547.80/110,014.45 = 110,014.45/x
  3. Step 3: Cross multiply
    50,547.80x = 110,014.45 × 110,014.45
  4. Step 4: Simplify right side
    50,547.80x = 12,103,179,896.39
  5. Step 5: Solve for x
    x = 12,103,179,896.39/50,547.80
  6. Step 6: Final answer
    x = 239,440.30

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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.