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Finding the Third Proportional to 55,514,322 and 120,295,692

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Solution

The third proportional to 55,514,322 and 120,295,692 is: 260,672,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514,322 : 120,295,692 = 120,295,692 : x
  2. Step 2: Convert to fraction form
    55,514,322/120,295,692 = 120,295,692/x
  3. Step 3: Cross multiply
    55,514,322x = 120,295,692 × 120,295,692
  4. Step 4: Simplify right side
    55,514,322x = 14,471,053,513,758,864
  5. Step 5: Solve for x
    x = 14,471,053,513,758,864/55,514,322
  6. Step 6: Final answer
    x = 260,672,435.37

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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.