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Finding the Third Proportional to 102,381,629.06 and 144,866,844.56

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Solution

The third proportional to 102,381,629.06 and 144,866,844.56 is: 204,982,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381,629.06 : 144,866,844.56 = 144,866,844.56 : x
  2. Step 2: Convert to fraction form
    102,381,629.06/144,866,844.56 = 144,866,844.56/x
  3. Step 3: Cross multiply
    102,381,629.06x = 144,866,844.56 × 144,866,844.56
  4. Step 4: Simplify right side
    102,381,629.06x = 20,986,402,653,495,536
  5. Step 5: Solve for x
    x = 20,986,402,653,495,536/102,381,629.06
  6. Step 6: Final answer
    x = 204,982,112.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.