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Finding the Third Proportional to 46,683 and 102,478.50

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Solution

The third proportional to 46,683 and 102,478.50 is: 224,960.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,683 : 102,478.50 = 102,478.50 : x
  2. Step 2: Convert to fraction form
    46,683/102,478.50 = 102,478.50/x
  3. Step 3: Cross multiply
    46,683x = 102,478.50 × 102,478.50
  4. Step 4: Simplify right side
    46,683x = 10,501,842,962.25
  5. Step 5: Solve for x
    x = 10,501,842,962.25/46,683
  6. Step 6: Final answer
    x = 224,960.76

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