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Finding the Third Proportional to 137,056,296 and 299,227,842

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Solution

The third proportional to 137,056,296 and 299,227,842 is: 653,288,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,056,296 : 299,227,842 = 299,227,842 : x
  2. Step 2: Convert to fraction form
    137,056,296/299,227,842 = 299,227,842/x
  3. Step 3: Cross multiply
    137,056,296x = 299,227,842 × 299,227,842
  4. Step 4: Simplify right side
    137,056,296x = 89,537,301,427,976,960
  5. Step 5: Solve for x
    x = 89,537,301,427,976,960/137,056,296
  6. Step 6: Final answer
    x = 653,288,495.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.