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Finding the Third Proportional to 109,986,071 and 238,889,171

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Solution

The third proportional to 109,986,071 and 238,889,171 is: 518,866,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,071 : 238,889,171 = 238,889,171 : x
  2. Step 2: Convert to fraction form
    109,986,071/238,889,171 = 238,889,171/x
  3. Step 3: Cross multiply
    109,986,071x = 238,889,171 × 238,889,171
  4. Step 4: Simplify right side
    109,986,071x = 57,068,036,021,067,240
  5. Step 5: Solve for x
    x = 57,068,036,021,067,240/109,986,071
  6. Step 6: Final answer
    x = 518,866,030.05

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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.