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Finding the Third Proportional to 51,141.44 and 109,390.63

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Solution

The third proportional to 51,141.44 and 109,390.63 is: 233,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,141.44 : 109,390.63 = 109,390.63 : x
  2. Step 2: Convert to fraction form
    51,141.44/109,390.63 = 109,390.63/x
  3. Step 3: Cross multiply
    51,141.44x = 109,390.63 × 109,390.63
  4. Step 4: Simplify right side
    51,141.44x = 11,966,308,837.89
  5. Step 5: Solve for x
    x = 11,966,308,837.89/51,141.44
  6. Step 6: Final answer
    x = 233,984.60

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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.