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Finding the Third Proportional to 48,048.19 and 103,204.13

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Solution

The third proportional to 48,048.19 and 103,204.13 is: 221,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048.19 : 103,204.13 = 103,204.13 : x
  2. Step 2: Convert to fraction form
    48,048.19/103,204.13 = 103,204.13/x
  3. Step 3: Cross multiply
    48,048.19x = 103,204.13 × 103,204.13
  4. Step 4: Simplify right side
    48,048.19x = 10,651,091,417.02
  5. Step 5: Solve for x
    x = 10,651,091,417.02/48,048.19
  6. Step 6: Final answer
    x = 221,675.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.