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Finding the Third Proportional to 136,904,613 and 322,856,229

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Solution

The third proportional to 136,904,613 and 322,856,229 is: 761,377,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,904,613 : 322,856,229 = 322,856,229 : x
  2. Step 2: Convert to fraction form
    136,904,613/322,856,229 = 322,856,229/x
  3. Step 3: Cross multiply
    136,904,613x = 322,856,229 × 322,856,229
  4. Step 4: Simplify right side
    136,904,613x = 104,236,144,604,100,448
  5. Step 5: Solve for x
    x = 104,236,144,604,100,448/136,904,613
  6. Step 6: Final answer
    x = 761,377,884.35

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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.