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Finding the Third Proportional to 119,384,194 and 259,787,168

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Solution

The third proportional to 119,384,194 and 259,787,168 is: 565,312,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,384,194 : 259,787,168 = 259,787,168 : x
  2. Step 2: Convert to fraction form
    119,384,194/259,787,168 = 259,787,168/x
  3. Step 3: Cross multiply
    119,384,194x = 259,787,168 × 259,787,168
  4. Step 4: Simplify right side
    119,384,194x = 67,489,372,657,460,224
  5. Step 5: Solve for x
    x = 67,489,372,657,460,224/119,384,194
  6. Step 6: Final answer
    x = 565,312,462.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.