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Finding the Third Proportional to 101,085,862.50 and 144,454,324.50

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Solution

The third proportional to 101,085,862.50 and 144,454,324.50 is: 206,428,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,085,862.50 : 144,454,324.50 = 144,454,324.50 : x
  2. Step 2: Convert to fraction form
    101,085,862.50/144,454,324.50 = 144,454,324.50/x
  3. Step 3: Cross multiply
    101,085,862.50x = 144,454,324.50 × 144,454,324.50
  4. Step 4: Simplify right side
    101,085,862.50x = 20,867,051,866,751,300
  5. Step 5: Solve for x
    x = 20,867,051,866,751,300/101,085,862.50
  6. Step 6: Final answer
    x = 206,428,983.74

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Why These Related Problems?

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