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Finding the Third Proportional to 92,372.63 and 199,165.50

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Solution

The third proportional to 92,372.63 and 199,165.50 is: 429,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,372.63 : 199,165.50 = 199,165.50 : x
  2. Step 2: Convert to fraction form
    92,372.63/199,165.50 = 199,165.50/x
  3. Step 3: Cross multiply
    92,372.63x = 199,165.50 × 199,165.50
  4. Step 4: Simplify right side
    92,372.63x = 39,666,896,390.25
  5. Step 5: Solve for x
    x = 39,666,896,390.25/92,372.63
  6. Step 6: Final answer
    x = 429,422.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.