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Finding the Third Proportional to 90,118,206 and 185,013,850.50

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Solution

The third proportional to 90,118,206 and 185,013,850.50 is: 379,835,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118,206 : 185,013,850.50 = 185,013,850.50 : x
  2. Step 2: Convert to fraction form
    90,118,206/185,013,850.50 = 185,013,850.50/x
  3. Step 3: Cross multiply
    90,118,206x = 185,013,850.50 × 185,013,850.50
  4. Step 4: Simplify right side
    90,118,206x = 34,230,124,876,836,352
  5. Step 5: Solve for x
    x = 34,230,124,876,836,352/90,118,206
  6. Step 6: Final answer
    x = 379,835,844.46

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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.