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Finding the Third Proportional to 46,239.19 and 101,039.06

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Solution

The third proportional to 46,239.19 and 101,039.06 is: 220,784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,239.19 : 101,039.06 = 101,039.06 : x
  2. Step 2: Convert to fraction form
    46,239.19/101,039.06 = 101,039.06/x
  3. Step 3: Cross multiply
    46,239.19x = 101,039.06 × 101,039.06
  4. Step 4: Simplify right side
    46,239.19x = 10,208,892,150.88
  5. Step 5: Solve for x
    x = 10,208,892,150.88/46,239.19
  6. Step 6: Final answer
    x = 220,784.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.