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Finding the Third Proportional to 46,504.13 and 100,742.06

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Solution

The third proportional to 46,504.13 and 100,742.06 is: 218,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504.13 : 100,742.06 = 100,742.06 : x
  2. Step 2: Convert to fraction form
    46,504.13/100,742.06 = 100,742.06/x
  3. Step 3: Cross multiply
    46,504.13x = 100,742.06 × 100,742.06
  4. Step 4: Simplify right side
    46,504.13x = 10,148,963,156.75
  5. Step 5: Solve for x
    x = 10,148,963,156.75/46,504.13
  6. Step 6: Final answer
    x = 218,237.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.