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Finding the Third Proportional to 250,640,784 and 383,165,184

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Solution

The third proportional to 250,640,784 and 383,165,184 is: 585,760,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,640,784 : 383,165,184 = 383,165,184 : x
  2. Step 2: Convert to fraction form
    250,640,784/383,165,184 = 383,165,184/x
  3. Step 3: Cross multiply
    250,640,784x = 383,165,184 × 383,165,184
  4. Step 4: Simplify right side
    250,640,784x = 146,815,558,229,753,856
  5. Step 5: Solve for x
    x = 146,815,558,229,753,856/250,640,784
  6. Step 6: Final answer
    x = 585,760,848.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.