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Finding the Third Proportional to 176,240,410 and 381,760,052

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Solution

The third proportional to 176,240,410 and 381,760,052 is: 826,942,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,240,410 : 381,760,052 = 381,760,052 : x
  2. Step 2: Convert to fraction form
    176,240,410/381,760,052 = 381,760,052/x
  3. Step 3: Cross multiply
    176,240,410x = 381,760,052 × 381,760,052
  4. Step 4: Simplify right side
    176,240,410x = 145,740,737,303,042,688
  5. Step 5: Solve for x
    x = 145,740,737,303,042,688/176,240,410
  6. Step 6: Final answer
    x = 826,942,795.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.