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Finding the Third Proportional to 231,153,525 and 316,967,646

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Solution

The third proportional to 231,153,525 and 316,967,646 is: 434,639,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,153,525 : 316,967,646 = 316,967,646 : x
  2. Step 2: Convert to fraction form
    231,153,525/316,967,646 = 316,967,646/x
  3. Step 3: Cross multiply
    231,153,525x = 316,967,646 × 316,967,646
  4. Step 4: Simplify right side
    231,153,525x = 100,468,488,610,781,312
  5. Step 5: Solve for x
    x = 100,468,488,610,781,312/231,153,525
  6. Step 6: Final answer
    x = 434,639,656.09

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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.