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Finding the Third Proportional to 46,238.34 and 101,042.44

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Solution

The third proportional to 46,238.34 and 101,042.44 is: 220,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,238.34 : 101,042.44 = 101,042.44 : x
  2. Step 2: Convert to fraction form
    46,238.34/101,042.44 = 101,042.44/x
  3. Step 3: Cross multiply
    46,238.34x = 101,042.44 × 101,042.44
  4. Step 4: Simplify right side
    46,238.34x = 10,209,574,175.94
  5. Step 5: Solve for x
    x = 10,209,574,175.94/46,238.34
  6. Step 6: Final answer
    x = 220,803.20

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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.