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Finding the Third Proportional to 109,986,085 and 238,889,188

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Solution

The third proportional to 109,986,085 and 238,889,188 is: 518,866,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,085 : 238,889,188 = 238,889,188 : x
  2. Step 2: Convert to fraction form
    109,986,085/238,889,188 = 238,889,188/x
  3. Step 3: Cross multiply
    109,986,085x = 238,889,188 × 238,889,188
  4. Step 4: Simplify right side
    109,986,085x = 57,068,044,143,299,344
  5. Step 5: Solve for x
    x = 57,068,044,143,299,344/109,986,085
  6. Step 6: Final answer
    x = 518,866,037.86

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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.