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Finding the Third Proportional to 54,965,571 and 119,402,310

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Solution

The third proportional to 54,965,571 and 119,402,310 is: 259,378,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965,571 : 119,402,310 = 119,402,310 : x
  2. Step 2: Convert to fraction form
    54,965,571/119,402,310 = 119,402,310/x
  3. Step 3: Cross multiply
    54,965,571x = 119,402,310 × 119,402,310
  4. Step 4: Simplify right side
    54,965,571x = 14,256,911,633,336,100
  5. Step 5: Solve for x
    x = 14,256,911,633,336,100/54,965,571
  6. Step 6: Final answer
    x = 259,378,941.65

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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.