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Finding the Third Proportional to 48,398.63 and 103,801.50

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Solution

The third proportional to 48,398.63 and 103,801.50 is: 222,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,398.63 : 103,801.50 = 103,801.50 : x
  2. Step 2: Convert to fraction form
    48,398.63/103,801.50 = 103,801.50/x
  3. Step 3: Cross multiply
    48,398.63x = 103,801.50 × 103,801.50
  4. Step 4: Simplify right side
    48,398.63x = 10,774,751,402.25
  5. Step 5: Solve for x
    x = 10,774,751,402.25/48,398.63
  6. Step 6: Final answer
    x = 222,625.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.