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Finding the Third Proportional to 119,642,164 and 259,703,392

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Solution

The third proportional to 119,642,164 and 259,703,392 is: 563,729,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642,164 : 259,703,392 = 259,703,392 : x
  2. Step 2: Convert to fraction form
    119,642,164/259,703,392 = 259,703,392/x
  3. Step 3: Cross multiply
    119,642,164x = 259,703,392 × 259,703,392
  4. Step 4: Simplify right side
    119,642,164x = 67,445,851,816,305,664
  5. Step 5: Solve for x
    x = 67,445,851,816,305,664/119,642,164
  6. Step 6: Final answer
    x = 563,729,788.57

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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.