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Finding the Third Proportional to 42,670.69 and 92,863.13

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Solution

The third proportional to 42,670.69 and 92,863.13 is: 202,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,670.69 : 92,863.13 = 92,863.13 : x
  2. Step 2: Convert to fraction form
    42,670.69/92,863.13 = 92,863.13/x
  3. Step 3: Cross multiply
    42,670.69x = 92,863.13 × 92,863.13
  4. Step 4: Simplify right side
    42,670.69x = 8,623,559,984.77
  5. Step 5: Solve for x
    x = 8,623,559,984.77/42,670.69
  6. Step 6: Final answer
    x = 202,095.64

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Why These Related Problems?

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