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Finding the Third Proportional to 51,430.50 and 109,179

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Solution

The third proportional to 51,430.50 and 109,179 is: 231,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,430.50 : 109,179 = 109,179 : x
  2. Step 2: Convert to fraction form
    51,430.50/109,179 = 109,179/x
  3. Step 3: Cross multiply
    51,430.50x = 109,179 × 109,179
  4. Step 4: Simplify right side
    51,430.50x = 11,920,054,041
  5. Step 5: Solve for x
    x = 11,920,054,041/51,430.50
  6. Step 6: Final answer
    x = 231,770.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.