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Finding the Third Proportional to 90,118,308.38 and 185,014,023.75

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Solution

The third proportional to 90,118,308.38 and 185,014,023.75 is: 379,836,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,118,308.38 : 185,014,023.75 = 185,014,023.75 : x
  2. Step 2: Convert to fraction form
    90,118,308.38/185,014,023.75 = 185,014,023.75/x
  3. Step 3: Cross multiply
    90,118,308.38x = 185,014,023.75 × 185,014,023.75
  4. Step 4: Simplify right side
    90,118,308.38x = 34,230,188,984,165,564
  5. Step 5: Solve for x
    x = 34,230,188,984,165,564/90,118,308.38
  6. Step 6: Final answer
    x = 379,836,124.33

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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.