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Finding the Third Proportional to 144,069.47 and 211,433.63

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Solution

The third proportional to 144,069.47 and 211,433.63 is: 310,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,069.47 : 211,433.63 = 211,433.63 : x
  2. Step 2: Convert to fraction form
    144,069.47/211,433.63 = 211,433.63/x
  3. Step 3: Cross multiply
    144,069.47x = 211,433.63 × 211,433.63
  4. Step 4: Simplify right side
    144,069.47x = 44,704,177,780.64
  5. Step 5: Solve for x
    x = 44,704,177,780.64/144,069.47
  6. Step 6: Final answer
    x = 310,295.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.