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Finding the Third Proportional to 47,160 and 101,669.25

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Solution

The third proportional to 47,160 and 101,669.25 is: 219,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,160 : 101,669.25 = 101,669.25 : x
  2. Step 2: Convert to fraction form
    47,160/101,669.25 = 101,669.25/x
  3. Step 3: Cross multiply
    47,160x = 101,669.25 × 101,669.25
  4. Step 4: Simplify right side
    47,160x = 10,336,636,395.56
  5. Step 5: Solve for x
    x = 10,336,636,395.56/47,160
  6. Step 6: Final answer
    x = 219,182.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.