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Finding the Third Proportional to 103,952 and 224,522.50

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Solution

The third proportional to 103,952 and 224,522.50 is: 484,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,952 : 224,522.50 = 224,522.50 : x
  2. Step 2: Convert to fraction form
    103,952/224,522.50 = 224,522.50/x
  3. Step 3: Cross multiply
    103,952x = 224,522.50 × 224,522.50
  4. Step 4: Simplify right side
    103,952x = 50,410,353,006.25
  5. Step 5: Solve for x
    x = 50,410,353,006.25/103,952
  6. Step 6: Final answer
    x = 484,938.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.