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Finding the Third Proportional to 51,831,709 and 113,426,186.50

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Solution

The third proportional to 51,831,709 and 113,426,186.50 is: 248,216,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,831,709 : 113,426,186.50 = 113,426,186.50 : x
  2. Step 2: Convert to fraction form
    51,831,709/113,426,186.50 = 113,426,186.50/x
  3. Step 3: Cross multiply
    51,831,709x = 113,426,186.50 × 113,426,186.50
  4. Step 4: Simplify right side
    51,831,709x = 12,865,499,783,932,782
  5. Step 5: Solve for x
    x = 12,865,499,783,932,782/51,831,709
  6. Step 6: Final answer
    x = 248,216,777.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.