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Finding the Third Proportional to 106,358,112 and 231,351,264

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Solution

The third proportional to 106,358,112 and 231,351,264 is: 503,237,659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,358,112 : 231,351,264 = 231,351,264 : x
  2. Step 2: Convert to fraction form
    106,358,112/231,351,264 = 231,351,264/x
  3. Step 3: Cross multiply
    106,358,112x = 231,351,264 × 231,351,264
  4. Step 4: Simplify right side
    106,358,112x = 53,523,407,354,397,696
  5. Step 5: Solve for x
    x = 53,523,407,354,397,696/106,358,112
  6. Step 6: Final answer
    x = 503,237,659.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.