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Finding the Third Proportional to 50,994,514.13 and 109,265,203.13

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Solution

The third proportional to 50,994,514.13 and 109,265,203.13 is: 234,120,960.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,994,514.13 : 109,265,203.13 = 109,265,203.13 : x
  2. Step 2: Convert to fraction form
    50,994,514.13/109,265,203.13 = 109,265,203.13/x
  3. Step 3: Cross multiply
    50,994,514.13x = 109,265,203.13 × 109,265,203.13
  4. Step 4: Simplify right side
    50,994,514.13x = 11,938,884,613,947,510
  5. Step 5: Solve for x
    x = 11,938,884,613,947,510/50,994,514.13
  6. Step 6: Final answer
    x = 234,120,960.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.