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Finding the Third Proportional to 92,304.19 and 201,692.63

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Solution

The third proportional to 92,304.19 and 201,692.63 is: 440,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,304.19 : 201,692.63 = 201,692.63 : x
  2. Step 2: Convert to fraction form
    92,304.19/201,692.63 = 201,692.63/x
  3. Step 3: Cross multiply
    92,304.19x = 201,692.63 × 201,692.63
  4. Step 4: Simplify right side
    92,304.19x = 40,679,914,979.39
  5. Step 5: Solve for x
    x = 40,679,914,979.39/92,304.19
  6. Step 6: Final answer
    x = 440,715.81

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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.