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Finding the Third Proportional to 117,150,926 and 243,998,324

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Solution

The third proportional to 117,150,926 and 243,998,324 is: 508,192,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,150,926 : 243,998,324 = 243,998,324 : x
  2. Step 2: Convert to fraction form
    117,150,926/243,998,324 = 243,998,324/x
  3. Step 3: Cross multiply
    117,150,926x = 243,998,324 × 243,998,324
  4. Step 4: Simplify right side
    117,150,926x = 59,535,182,114,808,976
  5. Step 5: Solve for x
    x = 59,535,182,114,808,976/117,150,926
  6. Step 6: Final answer
    x = 508,192,159.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.