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Finding the Third Proportional to 144,391,176 and 311,799,958

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Solution

The third proportional to 144,391,176 and 311,799,958 is: 673,304,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,391,176 : 311,799,958 = 311,799,958 : x
  2. Step 2: Convert to fraction form
    144,391,176/311,799,958 = 311,799,958/x
  3. Step 3: Cross multiply
    144,391,176x = 311,799,958 × 311,799,958
  4. Step 4: Simplify right side
    144,391,176x = 97,219,213,808,801,760
  5. Step 5: Solve for x
    x = 97,219,213,808,801,760/144,391,176
  6. Step 6: Final answer
    x = 673,304,397.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.