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Finding the Third Proportional to 90,118,175.06 and 185,013,782.44

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Solution

The third proportional to 90,118,175.06 and 185,013,782.44 is: 379,835,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118,175.06 : 185,013,782.44 = 185,013,782.44 : x
  2. Step 2: Convert to fraction form
    90,118,175.06/185,013,782.44 = 185,013,782.44/x
  3. Step 3: Cross multiply
    90,118,175.06x = 185,013,782.44 × 185,013,782.44
  4. Step 4: Simplify right side
    90,118,175.06x = 34,230,099,691,830,584
  5. Step 5: Solve for x
    x = 34,230,099,691,830,584/90,118,175.06
  6. Step 6: Final answer
    x = 379,835,695.39

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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.