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Finding the Third Proportional to 236,590,998 and 517,707,372

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Solution

The third proportional to 236,590,998 and 517,707,372 is: 1,132,844,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,590,998 : 517,707,372 = 517,707,372 : x
  2. Step 2: Convert to fraction form
    236,590,998/517,707,372 = 517,707,372/x
  3. Step 3: Cross multiply
    236,590,998x = 517,707,372 × 517,707,372
  4. Step 4: Simplify right side
    236,590,998x = 268,020,923,023,146,368
  5. Step 5: Solve for x
    x = 268,020,923,023,146,368/236,590,998
  6. Step 6: Final answer
    x = 1,132,844,974.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.