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Finding the Third Proportional to 46,823.06 and 102,967.88

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Solution

The third proportional to 46,823.06 and 102,967.88 is: 226,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,823.06 : 102,967.88 = 102,967.88 : x
  2. Step 2: Convert to fraction form
    46,823.06/102,967.88 = 102,967.88/x
  3. Step 3: Cross multiply
    46,823.06x = 102,967.88 × 102,967.88
  4. Step 4: Simplify right side
    46,823.06x = 10,602,383,282.02
  5. Step 5: Solve for x
    x = 10,602,383,282.02/46,823.06
  6. Step 6: Final answer
    x = 226,435.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.