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Finding the Third Proportional to 92,742.47 and 198,606.94

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Solution

The third proportional to 92,742.47 and 198,606.94 is: 425,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,742.47 : 198,606.94 = 198,606.94 : x
  2. Step 2: Convert to fraction form
    92,742.47/198,606.94 = 198,606.94/x
  3. Step 3: Cross multiply
    92,742.47x = 198,606.94 × 198,606.94
  4. Step 4: Simplify right side
    92,742.47x = 39,444,715,623.13
  5. Step 5: Solve for x
    x = 39,444,715,623.13/92,742.47
  6. Step 6: Final answer
    x = 425,314.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.