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Finding the Third Proportional to 159,740,432 and 228,273,240

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Solution

The third proportional to 159,740,432 and 228,273,240 is: 326,208,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,740,432 : 228,273,240 = 228,273,240 : x
  2. Step 2: Convert to fraction form
    159,740,432/228,273,240 = 228,273,240/x
  3. Step 3: Cross multiply
    159,740,432x = 228,273,240 × 228,273,240
  4. Step 4: Simplify right side
    159,740,432x = 52,108,672,100,097,600
  5. Step 5: Solve for x
    x = 52,108,672,100,097,600/159,740,432
  6. Step 6: Final answer
    x = 326,208,408.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.