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Finding the Third Proportional to 56,669,548.50 and 120,149,203.50

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Solution

The third proportional to 56,669,548.50 and 120,149,203.50 is: 254,737,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,669,548.50 : 120,149,203.50 = 120,149,203.50 : x
  2. Step 2: Convert to fraction form
    56,669,548.50/120,149,203.50 = 120,149,203.50/x
  3. Step 3: Cross multiply
    56,669,548.50x = 120,149,203.50 × 120,149,203.50
  4. Step 4: Simplify right side
    56,669,548.50x = 14,435,831,101,684,412
  5. Step 5: Solve for x
    x = 14,435,831,101,684,412/56,669,548.50
  6. Step 6: Final answer
    x = 254,737,005.74

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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.