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Finding the Third Proportional to 231,215,607 and 334,066,624

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Solution

The third proportional to 231,215,607 and 334,066,624 is: 482,668,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,215,607 : 334,066,624 = 334,066,624 : x
  2. Step 2: Convert to fraction form
    231,215,607/334,066,624 = 334,066,624/x
  3. Step 3: Cross multiply
    231,215,607x = 334,066,624 × 334,066,624
  4. Step 4: Simplify right side
    231,215,607x = 111,600,509,270,757,376
  5. Step 5: Solve for x
    x = 111,600,509,270,757,376/231,215,607
  6. Step 6: Final answer
    x = 482,668,582.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.