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Finding the Third Proportional to 102,381,615 and 144,866,846.25

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Solution

The third proportional to 102,381,615 and 144,866,846.25 is: 204,982,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381,615 : 144,866,846.25 = 144,866,846.25 : x
  2. Step 2: Convert to fraction form
    102,381,615/144,866,846.25 = 144,866,846.25/x
  3. Step 3: Cross multiply
    102,381,615x = 144,866,846.25 × 144,866,846.25
  4. Step 4: Simplify right side
    102,381,615x = 20,986,403,142,421,140
  5. Step 5: Solve for x
    x = 20,986,403,142,421,140/102,381,615
  6. Step 6: Final answer
    x = 204,982,145.89

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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.