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Finding the Third Proportional to 109,986,047 and 238,889,122

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Solution

The third proportional to 109,986,047 and 238,889,122 is: 518,865,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,047 : 238,889,122 = 238,889,122 : x
  2. Step 2: Convert to fraction form
    109,986,047/238,889,122 = 238,889,122/x
  3. Step 3: Cross multiply
    109,986,047x = 238,889,122 × 238,889,122
  4. Step 4: Simplify right side
    109,986,047x = 57,068,012,609,930,880
  5. Step 5: Solve for x
    x = 57,068,012,609,930,880/109,986,047
  6. Step 6: Final answer
    x = 518,865,930.42

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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.