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Finding the Third Proportional to 96,160,356 and 226,767,600

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Solution

The third proportional to 96,160,356 and 226,767,600 is: 534,768,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,160,356 : 226,767,600 = 226,767,600 : x
  2. Step 2: Convert to fraction form
    96,160,356/226,767,600 = 226,767,600/x
  3. Step 3: Cross multiply
    96,160,356x = 226,767,600 × 226,767,600
  4. Step 4: Simplify right side
    96,160,356x = 51,423,544,409,760,000
  5. Step 5: Solve for x
    x = 51,423,544,409,760,000/96,160,356
  6. Step 6: Final answer
    x = 534,768,656.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.