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Finding the Third Proportional to 166,355,984 and 370,962,544

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Solution

The third proportional to 166,355,984 and 370,962,544 is: 827,221,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,355,984 : 370,962,544 = 370,962,544 : x
  2. Step 2: Convert to fraction form
    166,355,984/370,962,544 = 370,962,544/x
  3. Step 3: Cross multiply
    166,355,984x = 370,962,544 × 370,962,544
  4. Step 4: Simplify right side
    166,355,984x = 137,613,209,050,951,936
  5. Step 5: Solve for x
    x = 137,613,209,050,951,936/166,355,984
  6. Step 6: Final answer
    x = 827,221,274.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.