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Finding the Third Proportional to 109,986,051 and 238,889,131

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Solution

The third proportional to 109,986,051 and 238,889,131 is: 518,865,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986,051 : 238,889,131 = 238,889,131 : x
  2. Step 2: Convert to fraction form
    109,986,051/238,889,131 = 238,889,131/x
  3. Step 3: Cross multiply
    109,986,051x = 238,889,131 × 238,889,131
  4. Step 4: Simplify right side
    109,986,051x = 57,068,016,909,935,160
  5. Step 5: Solve for x
    x = 57,068,016,909,935,160/109,986,051
  6. Step 6: Final answer
    x = 518,865,950.65

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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.