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Finding the Third Proportional to 101,085,806.25 and 144,454,240.69

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Solution

The third proportional to 101,085,806.25 and 144,454,240.69 is: 206,428,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,085,806.25 : 144,454,240.69 = 144,454,240.69 : x
  2. Step 2: Convert to fraction form
    101,085,806.25/144,454,240.69 = 144,454,240.69/x
  3. Step 3: Cross multiply
    101,085,806.25x = 144,454,240.69 × 144,454,240.69
  4. Step 4: Simplify right side
    101,085,806.25x = 20,867,027,652,602,180
  5. Step 5: Solve for x
    x = 20,867,027,652,602,180/101,085,806.25
  6. Step 6: Final answer
    x = 206,428,859.07

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.