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Finding the Third Proportional to 90,118,202.63 and 185,013,843.75

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Solution

The third proportional to 90,118,202.63 and 185,013,843.75 is: 379,835,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118,202.63 : 185,013,843.75 = 185,013,843.75 : x
  2. Step 2: Convert to fraction form
    90,118,202.63/185,013,843.75 = 185,013,843.75/x
  3. Step 3: Cross multiply
    90,118,202.63x = 185,013,843.75 × 185,013,843.75
  4. Step 4: Simplify right side
    90,118,202.63x = 34,230,122,379,149,416
  5. Step 5: Solve for x
    x = 34,230,122,379,149,416/90,118,202.63
  6. Step 6: Final answer
    x = 379,835,830.97

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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.