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Finding the Third Proportional to 231,153,514 and 316,967,629

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Solution

The third proportional to 231,153,514 and 316,967,629 is: 434,639,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,153,514 : 316,967,629 = 316,967,629 : x
  2. Step 2: Convert to fraction form
    231,153,514/316,967,629 = 316,967,629/x
  3. Step 3: Cross multiply
    231,153,514x = 316,967,629 × 316,967,629
  4. Step 4: Simplify right side
    231,153,514x = 100,468,477,833,881,648
  5. Step 5: Solve for x
    x = 100,468,477,833,881,648/231,153,514
  6. Step 6: Final answer
    x = 434,639,630.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.