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Finding the Third Proportional to 96,969,544,593 and 226,564,610,634

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Solution

The third proportional to 96,969,544,593 and 226,564,610,634 is: 529,357,160,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969,544,593 : 226,564,610,634 = 226,564,610,634 : x
  2. Step 2: Convert to fraction form
    96,969,544,593/226,564,610,634 = 226,564,610,634/x
  3. Step 3: Cross multiply
    96,969,544,593x = 226,564,610,634 × 226,564,610,634
  4. Step 4: Simplify right side
    96,969,544,593x = 51,331,522,791,736,025,808,896
  5. Step 5: Solve for x
    x = 51,331,522,791,736,025,808,896/96,969,544,593
  6. Step 6: Final answer
    x = 529,357,160,613.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.