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Finding the Third Proportional to 50,677,174.88 and 110,643,495.63

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Solution

The third proportional to 50,677,174.88 and 110,643,495.63 is: 241,567,987.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,677,174.88 : 110,643,495.63 = 110,643,495.63 : x
  2. Step 2: Convert to fraction form
    50,677,174.88/110,643,495.63 = 110,643,495.63/x
  3. Step 3: Cross multiply
    50,677,174.88x = 110,643,495.63 × 110,643,495.63
  4. Step 4: Simplify right side
    50,677,174.88x = 12,241,983,124,119,394
  5. Step 5: Solve for x
    x = 12,241,983,124,119,394/50,677,174.88
  6. Step 6: Final answer
    x = 241,567,987.05

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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.