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Finding the Third Proportional to 229,514,733 and 344,944,755

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Solution

The third proportional to 229,514,733 and 344,944,755 is: 518,428,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,514,733 : 344,944,755 = 344,944,755 : x
  2. Step 2: Convert to fraction form
    229,514,733/344,944,755 = 344,944,755/x
  3. Step 3: Cross multiply
    229,514,733x = 344,944,755 × 344,944,755
  4. Step 4: Simplify right side
    229,514,733x = 118,986,884,002,010,032
  5. Step 5: Solve for x
    x = 118,986,884,002,010,032/229,514,733
  6. Step 6: Final answer
    x = 518,428,087.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.