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Finding the Third Proportional to 176,225,576 and 366,933,302

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Solution

The third proportional to 176,225,576 and 366,933,302 is: 764,021,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,225,576 : 366,933,302 = 366,933,302 : x
  2. Step 2: Convert to fraction form
    176,225,576/366,933,302 = 366,933,302/x
  3. Step 3: Cross multiply
    176,225,576x = 366,933,302 × 366,933,302
  4. Step 4: Simplify right side
    176,225,576x = 134,640,048,116,623,200
  5. Step 5: Solve for x
    x = 134,640,048,116,623,200/176,225,576
  6. Step 6: Final answer
    x = 764,021,041.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.