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Finding the Third Proportional to 92,347.59 and 199,457.44

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Solution

The third proportional to 92,347.59 and 199,457.44 is: 430,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,347.59 : 199,457.44 = 199,457.44 : x
  2. Step 2: Convert to fraction form
    92,347.59/199,457.44 = 199,457.44/x
  3. Step 3: Cross multiply
    92,347.59x = 199,457.44 × 199,457.44
  4. Step 4: Simplify right side
    92,347.59x = 39,783,269,374.07
  5. Step 5: Solve for x
    x = 39,783,269,374.07/92,347.59
  6. Step 6: Final answer
    x = 430,799.20

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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.