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Finding the Third Proportional to 168,314,120 and 228,085,644

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Solution

The third proportional to 168,314,120 and 228,085,644 is: 309,083,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,314,120 : 228,085,644 = 228,085,644 : x
  2. Step 2: Convert to fraction form
    168,314,120/228,085,644 = 228,085,644/x
  3. Step 3: Cross multiply
    168,314,120x = 228,085,644 × 228,085,644
  4. Step 4: Simplify right side
    168,314,120x = 52,023,060,998,894,736
  5. Step 5: Solve for x
    x = 52,023,060,998,894,736/168,314,120
  6. Step 6: Final answer
    x = 309,083,165.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.