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Finding the Third Proportional to 183,622,333.50 and 387,968,674.50

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Solution

The third proportional to 183,622,333.50 and 387,968,674.50 is: 819,724,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,622,333.50 : 387,968,674.50 = 387,968,674.50 : x
  2. Step 2: Convert to fraction form
    183,622,333.50/387,968,674.50 = 387,968,674.50/x
  3. Step 3: Cross multiply
    183,622,333.50x = 387,968,674.50 × 387,968,674.50
  4. Step 4: Simplify right side
    183,622,333.50x = 150,519,692,393,286,944
  5. Step 5: Solve for x
    x = 150,519,692,393,286,944/183,622,333.50
  6. Step 6: Final answer
    x = 819,724,319.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.