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Finding the Third Proportional to 45,981 and 103,801.50

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Solution

The third proportional to 45,981 and 103,801.50 is: 234,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,981 : 103,801.50 = 103,801.50 : x
  2. Step 2: Convert to fraction form
    45,981/103,801.50 = 103,801.50/x
  3. Step 3: Cross multiply
    45,981x = 103,801.50 × 103,801.50
  4. Step 4: Simplify right side
    45,981x = 10,774,751,402.25
  5. Step 5: Solve for x
    x = 10,774,751,402.25/45,981
  6. Step 6: Final answer
    x = 234,330.51

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.