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Finding the Third Proportional to 105,704,109 and 153,954,229.50

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Solution

The third proportional to 105,704,109 and 153,954,229.50 is: 224,228,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,704,109 : 153,954,229.50 = 153,954,229.50 : x
  2. Step 2: Convert to fraction form
    105,704,109/153,954,229.50 = 153,954,229.50/x
  3. Step 3: Cross multiply
    105,704,109x = 153,954,229.50 × 153,954,229.50
  4. Step 4: Simplify right side
    105,704,109x = 23,701,904,780,938,672
  5. Step 5: Solve for x
    x = 23,701,904,780,938,672/105,704,109
  6. Step 6: Final answer
    x = 224,228,793.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.