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Finding the Third Proportional to 43,156.69 and 92,309.63

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Solution

The third proportional to 43,156.69 and 92,309.63 is: 197,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,156.69 : 92,309.63 = 92,309.63 : x
  2. Step 2: Convert to fraction form
    43,156.69/92,309.63 = 92,309.63/x
  3. Step 3: Cross multiply
    43,156.69x = 92,309.63 × 92,309.63
  4. Step 4: Simplify right side
    43,156.69x = 8,521,066,867.64
  5. Step 5: Solve for x
    x = 8,521,066,867.64/43,156.69
  6. Step 6: Final answer
    x = 197,444.88

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