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Finding the Third Proportional to 46,055.50 and 101,792

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Solution

The third proportional to 46,055.50 and 101,792 is: 224,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,055.50 : 101,792 = 101,792 : x
  2. Step 2: Convert to fraction form
    46,055.50/101,792 = 101,792/x
  3. Step 3: Cross multiply
    46,055.50x = 101,792 × 101,792
  4. Step 4: Simplify right side
    46,055.50x = 10,361,611,264
  5. Step 5: Solve for x
    x = 10,361,611,264/46,055.50
  6. Step 6: Final answer
    x = 224,980.97

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.