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Finding the Third Proportional to 47,169 and 101,084.63

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Solution

The third proportional to 47,169 and 101,084.63 is: 216,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,169 : 101,084.63 = 101,084.63 : x
  2. Step 2: Convert to fraction form
    47,169/101,084.63 = 101,084.63/x
  3. Step 3: Cross multiply
    47,169x = 101,084.63 × 101,084.63
  4. Step 4: Simplify right side
    47,169x = 10,218,101,411.39
  5. Step 5: Solve for x
    x = 10,218,101,411.39/47,169
  6. Step 6: Final answer
    x = 216,627.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.