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Finding the Third Proportional to 142,580,864 and 305,624,936

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Solution

The third proportional to 142,580,864 and 305,624,936 is: 655,113,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,580,864 : 305,624,936 = 305,624,936 : x
  2. Step 2: Convert to fraction form
    142,580,864/305,624,936 = 305,624,936/x
  3. Step 3: Cross multiply
    142,580,864x = 305,624,936 × 305,624,936
  4. Step 4: Simplify right side
    142,580,864x = 93,406,601,505,004,096
  5. Step 5: Solve for x
    x = 93,406,601,505,004,096/142,580,864
  6. Step 6: Final answer
    x = 655,113,167.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.