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Finding the Third Proportional to 114,068,744 and 246,319,312

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Solution

The third proportional to 114,068,744 and 246,319,312 is: 531,900,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,068,744 : 246,319,312 = 246,319,312 : x
  2. Step 2: Convert to fraction form
    114,068,744/246,319,312 = 246,319,312/x
  3. Step 3: Cross multiply
    114,068,744x = 246,319,312 × 246,319,312
  4. Step 4: Simplify right side
    114,068,744x = 60,673,203,464,153,344
  5. Step 5: Solve for x
    x = 60,673,203,464,153,344/114,068,744
  6. Step 6: Final answer
    x = 531,900,337.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.