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Finding the Third Proportional to 189,783,000 and 414,365,544

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Solution

The third proportional to 189,783,000 and 414,365,544 is: 904,711,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,783,000 : 414,365,544 = 414,365,544 : x
  2. Step 2: Convert to fraction form
    189,783,000/414,365,544 = 414,365,544/x
  3. Step 3: Cross multiply
    189,783,000x = 414,365,544 × 414,365,544
  4. Step 4: Simplify right side
    189,783,000x = 171,698,804,054,415,936
  5. Step 5: Solve for x
    x = 171,698,804,054,415,936/189,783,000
  6. Step 6: Final answer
    x = 904,711,191.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.