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Finding the Third Proportional to 250,158,096 and 377,205,792

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Solution

The third proportional to 250,158,096 and 377,205,792 is: 568,777,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,158,096 : 377,205,792 = 377,205,792 : x
  2. Step 2: Convert to fraction form
    250,158,096/377,205,792 = 377,205,792/x
  3. Step 3: Cross multiply
    250,158,096x = 377,205,792 × 377,205,792
  4. Step 4: Simplify right side
    250,158,096x = 142,284,209,518,347,264
  5. Step 5: Solve for x
    x = 142,284,209,518,347,264/250,158,096
  6. Step 6: Final answer
    x = 568,777,152.50

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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.