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Finding the Third Proportional to 115,150.88 and 249,163.50

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Solution

The third proportional to 115,150.88 and 249,163.50 is: 539,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,150.88 : 249,163.50 = 249,163.50 : x
  2. Step 2: Convert to fraction form
    115,150.88/249,163.50 = 249,163.50/x
  3. Step 3: Cross multiply
    115,150.88x = 249,163.50 × 249,163.50
  4. Step 4: Simplify right side
    115,150.88x = 62,082,449,732.25
  5. Step 5: Solve for x
    x = 62,082,449,732.25/115,150.88
  6. Step 6: Final answer
    x = 539,140.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.