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Finding the Third Proportional to 46,792.69 and 102,925.69

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Solution

The third proportional to 46,792.69 and 102,925.69 is: 226,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,792.69 : 102,925.69 = 102,925.69 : x
  2. Step 2: Convert to fraction form
    46,792.69/102,925.69 = 102,925.69/x
  3. Step 3: Cross multiply
    46,792.69x = 102,925.69 × 102,925.69
  4. Step 4: Simplify right side
    46,792.69x = 10,593,697,147.35
  5. Step 5: Solve for x
    x = 10,593,697,147.35/46,792.69
  6. Step 6: Final answer
    x = 226,396.42

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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.