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Finding the Third Proportional to 145,429,107 and 311,013,606

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Solution

The third proportional to 145,429,107 and 311,013,606 is: 665,131,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429,107 : 311,013,606 = 311,013,606 : x
  2. Step 2: Convert to fraction form
    145,429,107/311,013,606 = 311,013,606/x
  3. Step 3: Cross multiply
    145,429,107x = 311,013,606 × 311,013,606
  4. Step 4: Simplify right side
    145,429,107x = 96,729,463,117,123,232
  5. Step 5: Solve for x
    x = 96,729,463,117,123,232/145,429,107
  6. Step 6: Final answer
    x = 665,131,383.34

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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.