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Finding the Third Proportional to 50,677,176 and 110,643,495

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Solution

The third proportional to 50,677,176 and 110,643,495 is: 241,567,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,677,176 : 110,643,495 = 110,643,495 : x
  2. Step 2: Convert to fraction form
    50,677,176/110,643,495 = 110,643,495/x
  3. Step 3: Cross multiply
    50,677,176x = 110,643,495 × 110,643,495
  4. Step 4: Simplify right side
    50,677,176x = 12,241,982,985,815,024
  5. Step 5: Solve for x
    x = 12,241,982,985,815,024/50,677,176
  6. Step 6: Final answer
    x = 241,567,978.96

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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.