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Finding the Third Proportional to 43,153.31 and 92,303.44

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Solution

The third proportional to 43,153.31 and 92,303.44 is: 197,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,153.31 : 92,303.44 = 92,303.44 : x
  2. Step 2: Convert to fraction form
    43,153.31/92,303.44 = 92,303.44/x
  3. Step 3: Cross multiply
    43,153.31x = 92,303.44 × 92,303.44
  4. Step 4: Simplify right side
    43,153.31x = 8,519,924,574.32
  5. Step 5: Solve for x
    x = 8,519,924,574.32/43,153.31
  6. Step 6: Final answer
    x = 197,433.85

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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.