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Finding the Third Proportional to 109,986,094 and 238,889,208

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Solution

The third proportional to 109,986,094 and 238,889,208 is: 518,866,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,094 : 238,889,208 = 238,889,208 : x
  2. Step 2: Convert to fraction form
    109,986,094/238,889,208 = 238,889,208/x
  3. Step 3: Cross multiply
    109,986,094x = 238,889,208 × 238,889,208
  4. Step 4: Simplify right side
    109,986,094x = 57,068,053,698,867,264
  5. Step 5: Solve for x
    x = 57,068,053,698,867,264/109,986,094
  6. Step 6: Final answer
    x = 518,866,082.28

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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.