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Finding the Third Proportional to 107,664,689 and 236,173,494

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Solution

The third proportional to 107,664,689 and 236,173,494 is: 518,070,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664,689 : 236,173,494 = 236,173,494 : x
  2. Step 2: Convert to fraction form
    107,664,689/236,173,494 = 236,173,494/x
  3. Step 3: Cross multiply
    107,664,689x = 236,173,494 × 236,173,494
  4. Step 4: Simplify right side
    107,664,689x = 55,777,919,268,168,032
  5. Step 5: Solve for x
    x = 55,777,919,268,168,032/107,664,689
  6. Step 6: Final answer
    x = 518,070,685.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.