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Finding the Third Proportional to 159,462,031.50 and 249,821,826.75

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Solution

The third proportional to 159,462,031.50 and 249,821,826.75 is: 391,384,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,462,031.50 : 249,821,826.75 = 249,821,826.75 : x
  2. Step 2: Convert to fraction form
    159,462,031.50/249,821,826.75 = 249,821,826.75/x
  3. Step 3: Cross multiply
    159,462,031.50x = 249,821,826.75 × 249,821,826.75
  4. Step 4: Simplify right side
    159,462,031.50x = 62,410,945,120,707,016
  5. Step 5: Solve for x
    x = 62,410,945,120,707,016/159,462,031.50
  6. Step 6: Final answer
    x = 391,384,359.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.