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Finding the Third Proportional to 46,171.69 and 101,101.06

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Solution

The third proportional to 46,171.69 and 101,101.06 is: 221,378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,171.69 : 101,101.06 = 101,101.06 : x
  2. Step 2: Convert to fraction form
    46,171.69/101,101.06 = 101,101.06/x
  3. Step 3: Cross multiply
    46,171.69x = 101,101.06 × 101,101.06
  4. Step 4: Simplify right side
    46,171.69x = 10,221,424,838.63
  5. Step 5: Solve for x
    x = 10,221,424,838.63/46,171.69
  6. Step 6: Final answer
    x = 221,378.63

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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.