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Finding the Third Proportional to 77,491.69 and 182,503.13

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Solution

The third proportional to 77,491.69 and 182,503.13 is: 429,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,491.69 : 182,503.13 = 182,503.13 : x
  2. Step 2: Convert to fraction form
    77,491.69/182,503.13 = 182,503.13/x
  3. Step 3: Cross multiply
    77,491.69x = 182,503.13 × 182,503.13
  4. Step 4: Simplify right side
    77,491.69x = 33,307,390,634.77
  5. Step 5: Solve for x
    x = 33,307,390,634.77/77,491.69
  6. Step 6: Final answer
    x = 429,818.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.