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Finding the Third Proportional to 55,536,078 and 119,606,514

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Solution

The third proportional to 55,536,078 and 119,606,514 is: 257,593,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536,078 : 119,606,514 = 119,606,514 : x
  2. Step 2: Convert to fraction form
    55,536,078/119,606,514 = 119,606,514/x
  3. Step 3: Cross multiply
    55,536,078x = 119,606,514 × 119,606,514
  4. Step 4: Simplify right side
    55,536,078x = 14,305,718,191,232,196
  5. Step 5: Solve for x
    x = 14,305,718,191,232,196/55,536,078
  6. Step 6: Final answer
    x = 257,593,238.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.