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Finding the Third Proportional to 56,669,543 and 120,149,190.50

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Solution

The third proportional to 56,669,543 and 120,149,190.50 is: 254,736,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,669,543 : 120,149,190.50 = 120,149,190.50 : x
  2. Step 2: Convert to fraction form
    56,669,543/120,149,190.50 = 120,149,190.50/x
  3. Step 3: Cross multiply
    56,669,543x = 120,149,190.50 × 120,149,190.50
  4. Step 4: Simplify right side
    56,669,543x = 14,435,827,977,805,290
  5. Step 5: Solve for x
    x = 14,435,827,977,805,290/56,669,543
  6. Step 6: Final answer
    x = 254,736,975.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.