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Finding the Third Proportional to 105,143.63 and 231,314.63

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Solution

The third proportional to 105,143.63 and 231,314.63 is: 508,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,143.63 : 231,314.63 = 231,314.63 : x
  2. Step 2: Convert to fraction form
    105,143.63/231,314.63 = 231,314.63/x
  3. Step 3: Cross multiply
    105,143.63x = 231,314.63 × 231,314.63
  4. Step 4: Simplify right side
    105,143.63x = 53,506,455,738.89
  5. Step 5: Solve for x
    x = 53,506,455,738.89/105,143.63
  6. Step 6: Final answer
    x = 508,889.21

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