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Finding the Third Proportional to 92,361.50 and 200,897.50

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Solution

The third proportional to 92,361.50 and 200,897.50 is: 436,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,361.50 : 200,897.50 = 200,897.50 : x
  2. Step 2: Convert to fraction form
    92,361.50/200,897.50 = 200,897.50/x
  3. Step 3: Cross multiply
    92,361.50x = 200,897.50 × 200,897.50
  4. Step 4: Simplify right side
    92,361.50x = 40,359,805,506.25
  5. Step 5: Solve for x
    x = 40,359,805,506.25/92,361.50
  6. Step 6: Final answer
    x = 436,976.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.