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Finding the Third Proportional to 123,015 and 200,869.50

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Solution

The third proportional to 123,015 and 200,869.50 is: 327,997.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,015 : 200,869.50 = 200,869.50 : x
  2. Step 2: Convert to fraction form
    123,015/200,869.50 = 200,869.50/x
  3. Step 3: Cross multiply
    123,015x = 200,869.50 × 200,869.50
  4. Step 4: Simplify right side
    123,015x = 40,348,556,030.25
  5. Step 5: Solve for x
    x = 40,348,556,030.25/123,015
  6. Step 6: Final answer
    x = 327,997.04

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.