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Finding the Third Proportional to 102,381,640.88 and 144,866,864.81

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Solution

The third proportional to 102,381,640.88 and 144,866,864.81 is: 204,982,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381,640.88 : 144,866,864.81 = 144,866,864.81 : x
  2. Step 2: Convert to fraction form
    102,381,640.88/144,866,864.81 = 144,866,864.81/x
  3. Step 3: Cross multiply
    102,381,640.88x = 144,866,864.81 × 144,866,864.81
  4. Step 4: Simplify right side
    102,381,640.88x = 20,986,408,520,603,152
  5. Step 5: Solve for x
    x = 20,986,408,520,603,152/102,381,640.88
  6. Step 6: Final answer
    x = 204,982,146.62

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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.