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Finding the Third Proportional to 119,650,225,993 and 259,155,796,332

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Solution

The third proportional to 119,650,225,993 and 259,155,796,332 is: 561,317,174,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,650,225,993 : 259,155,796,332 = 259,155,796,332 : x
  2. Step 2: Convert to fraction form
    119,650,225,993/259,155,796,332 = 259,155,796,332/x
  3. Step 3: Cross multiply
    119,650,225,993x = 259,155,796,332 × 259,155,796,332
  4. Step 4: Simplify right side
    119,650,225,993x = 67,161,726,772,473,067,732,992
  5. Step 5: Solve for x
    x = 67,161,726,772,473,067,732,992/119,650,225,993
  6. Step 6: Final answer
    x = 561,317,174,414.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.