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Finding the Third Proportional to 178,520,932 and 270,475,966

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Solution

The third proportional to 178,520,932 and 270,475,966 is: 409,796,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,520,932 : 270,475,966 = 270,475,966 : x
  2. Step 2: Convert to fraction form
    178,520,932/270,475,966 = 270,475,966/x
  3. Step 3: Cross multiply
    178,520,932x = 270,475,966 × 270,475,966
  4. Step 4: Simplify right side
    178,520,932x = 73,157,248,183,633,152
  5. Step 5: Solve for x
    x = 73,157,248,183,633,152/178,520,932
  6. Step 6: Final answer
    x = 409,796,472.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.