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Finding the Third Proportional to 194,156,500.50 and 417,128,906.25

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Solution

The third proportional to 194,156,500.50 and 417,128,906.25 is: 896,166,360.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156,500.50 : 417,128,906.25 = 417,128,906.25 : x
  2. Step 2: Convert to fraction form
    194,156,500.50/417,128,906.25 = 417,128,906.25/x
  3. Step 3: Cross multiply
    194,156,500.50x = 417,128,906.25 × 417,128,906.25
  4. Step 4: Simplify right side
    194,156,500.50x = 173,996,524,429,321,280
  5. Step 5: Solve for x
    x = 173,996,524,429,321,280/194,156,500.50
  6. Step 6: Final answer
    x = 896,166,360.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.