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Finding the Third Proportional to 46,815.75 and 102,389.75

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Solution

The third proportional to 46,815.75 and 102,389.75 is: 223,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,815.75 : 102,389.75 = 102,389.75 : x
  2. Step 2: Convert to fraction form
    46,815.75/102,389.75 = 102,389.75/x
  3. Step 3: Cross multiply
    46,815.75x = 102,389.75 × 102,389.75
  4. Step 4: Simplify right side
    46,815.75x = 10,483,660,905.06
  5. Step 5: Solve for x
    x = 10,483,660,905.06/46,815.75
  6. Step 6: Final answer
    x = 223,934.49

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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.