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Finding the Third Proportional to 154,615,234 and 331,363,171

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Solution

The third proportional to 154,615,234 and 331,363,171 is: 710,159,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,615,234 : 331,363,171 = 331,363,171 : x
  2. Step 2: Convert to fraction form
    154,615,234/331,363,171 = 331,363,171/x
  3. Step 3: Cross multiply
    154,615,234x = 331,363,171 × 331,363,171
  4. Step 4: Simplify right side
    154,615,234x = 109,801,551,095,175,248
  5. Step 5: Solve for x
    x = 109,801,551,095,175,248/154,615,234
  6. Step 6: Final answer
    x = 710,159,977.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.