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Finding the Third Proportional to 250,158,097 and 377,205,793.50

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Solution

The third proportional to 250,158,097 and 377,205,793.50 is: 568,777,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,158,097 : 377,205,793.50 = 377,205,793.50 : x
  2. Step 2: Convert to fraction form
    250,158,097/377,205,793.50 = 377,205,793.50/x
  3. Step 3: Cross multiply
    250,158,097x = 377,205,793.50 × 377,205,793.50
  4. Step 4: Simplify right side
    250,158,097x = 142,284,210,649,964,640
  5. Step 5: Solve for x
    x = 142,284,210,649,964,640/250,158,097
  6. Step 6: Final answer
    x = 568,777,154.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.