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Finding the Third Proportional to 51,952,195.50 and 112,946,946

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Solution

The third proportional to 51,952,195.50 and 112,946,946 is: 245,552,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952,195.50 : 112,946,946 = 112,946,946 : x
  2. Step 2: Convert to fraction form
    51,952,195.50/112,946,946 = 112,946,946/x
  3. Step 3: Cross multiply
    51,952,195.50x = 112,946,946 × 112,946,946
  4. Step 4: Simplify right side
    51,952,195.50x = 12,757,012,610,726,916
  5. Step 5: Solve for x
    x = 12,757,012,610,726,916/51,952,195.50
  6. Step 6: Final answer
    x = 245,552,906.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.