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Finding the Third Proportional to 92,784.81 and 203,302.88

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Solution

The third proportional to 92,784.81 and 203,302.88 is: 445,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,784.81 : 203,302.88 = 203,302.88 : x
  2. Step 2: Convert to fraction form
    92,784.81/203,302.88 = 203,302.88/x
  3. Step 3: Cross multiply
    92,784.81x = 203,302.88 × 203,302.88
  4. Step 4: Simplify right side
    92,784.81x = 41,332,058,983.27
  5. Step 5: Solve for x
    x = 41,332,058,983.27/92,784.81
  6. Step 6: Final answer
    x = 445,461.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.