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Finding the Third Proportional to 51,566.63 and 106,345.41

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Solution

The third proportional to 51,566.63 and 106,345.41 is: 219,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,566.63 : 106,345.41 = 106,345.41 : x
  2. Step 2: Convert to fraction form
    51,566.63/106,345.41 = 106,345.41/x
  3. Step 3: Cross multiply
    51,566.63x = 106,345.41 × 106,345.41
  4. Step 4: Simplify right side
    51,566.63x = 11,309,345,430.48
  5. Step 5: Solve for x
    x = 11,309,345,430.48/51,566.63
  6. Step 6: Final answer
    x = 219,315.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.