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Finding the Third Proportional to 106,700.63 and 229,084.88

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Solution

The third proportional to 106,700.63 and 229,084.88 is: 491,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.63 : 229,084.88 = 229,084.88 : x
  2. Step 2: Convert to fraction form
    106,700.63/229,084.88 = 229,084.88/x
  3. Step 3: Cross multiply
    106,700.63x = 229,084.88 × 229,084.88
  4. Step 4: Simplify right side
    106,700.63x = 52,479,879,953.77
  5. Step 5: Solve for x
    x = 52,479,879,953.77/106,700.63
  6. Step 6: Final answer
    x = 491,842.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.