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Finding the Third Proportional to 172,058,070 and 263,024,514

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Solution

The third proportional to 172,058,070 and 263,024,514 is: 402,084,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058,070 : 263,024,514 = 263,024,514 : x
  2. Step 2: Convert to fraction form
    172,058,070/263,024,514 = 263,024,514/x
  3. Step 3: Cross multiply
    172,058,070x = 263,024,514 × 263,024,514
  4. Step 4: Simplify right side
    172,058,070x = 69,181,894,964,936,192
  5. Step 5: Solve for x
    x = 69,181,894,964,936,192/172,058,070
  6. Step 6: Final answer
    x = 402,084,569.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.