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Finding the Third Proportional to 102,395.63 and 224,474.16

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Solution

The third proportional to 102,395.63 and 224,474.16 is: 492,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395.63 : 224,474.16 = 224,474.16 : x
  2. Step 2: Convert to fraction form
    102,395.63/224,474.16 = 224,474.16/x
  3. Step 3: Cross multiply
    102,395.63x = 224,474.16 × 224,474.16
  4. Step 4: Simplify right side
    102,395.63x = 50,388,646,824.15
  5. Step 5: Solve for x
    x = 50,388,646,824.15/102,395.63
  6. Step 6: Final answer
    x = 492,097.65

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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.