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Finding the Third Proportional to 102,497.63 and 224,735.63

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Solution

The third proportional to 102,497.63 and 224,735.63 is: 492,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.63 : 224,735.63 = 224,735.63 : x
  2. Step 2: Convert to fraction form
    102,497.63/224,735.63 = 224,735.63/x
  3. Step 3: Cross multiply
    102,497.63x = 224,735.63 × 224,735.63
  4. Step 4: Simplify right side
    102,497.63x = 50,506,101,144.14
  5. Step 5: Solve for x
    x = 50,506,101,144.14/102,497.63
  6. Step 6: Final answer
    x = 492,753.87

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