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Finding the Third Proportional to 90,118,179.75 and 185,013,791.75

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Solution

The third proportional to 90,118,179.75 and 185,013,791.75 is: 379,835,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118,179.75 : 185,013,791.75 = 185,013,791.75 : x
  2. Step 2: Convert to fraction form
    90,118,179.75/185,013,791.75 = 185,013,791.75/x
  3. Step 3: Cross multiply
    90,118,179.75x = 185,013,791.75 × 185,013,791.75
  4. Step 4: Simplify right side
    90,118,179.75x = 34,230,103,137,712,368
  5. Step 5: Solve for x
    x = 34,230,103,137,712,368/90,118,179.75
  6. Step 6: Final answer
    x = 379,835,713.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.