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Finding the Third Proportional to 109,986,049 and 238,889,126

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Solution

The third proportional to 109,986,049 and 238,889,126 is: 518,865,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,049 : 238,889,126 = 238,889,126 : x
  2. Step 2: Convert to fraction form
    109,986,049/238,889,126 = 238,889,126/x
  3. Step 3: Cross multiply
    109,986,049x = 238,889,126 × 238,889,126
  4. Step 4: Simplify right side
    109,986,049x = 57,068,014,521,043,872
  5. Step 5: Solve for x
    x = 57,068,014,521,043,872/109,986,049
  6. Step 6: Final answer
    x = 518,865,938.36

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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.