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Finding the Third Proportional to 49,905,915.75 and 109,203,903

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Solution

The third proportional to 49,905,915.75 and 109,203,903 is: 238,959,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,905,915.75 : 109,203,903 = 109,203,903 : x
  2. Step 2: Convert to fraction form
    49,905,915.75/109,203,903 = 109,203,903/x
  3. Step 3: Cross multiply
    49,905,915.75x = 109,203,903 × 109,203,903
  4. Step 4: Simplify right side
    49,905,915.75x = 11,925,492,430,433,408
  5. Step 5: Solve for x
    x = 11,925,492,430,433,408/49,905,915.75
  6. Step 6: Final answer
    x = 238,959,495.11

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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.