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Finding the Third Proportional to 106,079.63 and 231,842.25

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Solution

The third proportional to 106,079.63 and 231,842.25 is: 506,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,079.63 : 231,842.25 = 231,842.25 : x
  2. Step 2: Convert to fraction form
    106,079.63/231,842.25 = 231,842.25/x
  3. Step 3: Cross multiply
    106,079.63x = 231,842.25 × 231,842.25
  4. Step 4: Simplify right side
    106,079.63x = 53,750,828,885.06
  5. Step 5: Solve for x
    x = 53,750,828,885.06/106,079.63
  6. Step 6: Final answer
    x = 506,702.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.