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Finding the Third Proportional to 48,833.51 and 103,666.08

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Solution

The third proportional to 48,833.51 and 103,666.08 is: 220,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,833.51 : 103,666.08 = 103,666.08 : x
  2. Step 2: Convert to fraction form
    48,833.51/103,666.08 = 103,666.08/x
  3. Step 3: Cross multiply
    48,833.51x = 103,666.08 × 103,666.08
  4. Step 4: Simplify right side
    48,833.51x = 10,746,655,753.82
  5. Step 5: Solve for x
    x = 10,746,655,753.82/48,833.51
  6. Step 6: Final answer
    x = 220,067.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.