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Finding the Third Proportional to 154,469,346 and 233,140,498

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Solution

The third proportional to 154,469,346 and 233,140,498 is: 351,878,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,469,346 : 233,140,498 = 233,140,498 : x
  2. Step 2: Convert to fraction form
    154,469,346/233,140,498 = 233,140,498/x
  3. Step 3: Cross multiply
    154,469,346x = 233,140,498 × 233,140,498
  4. Step 4: Simplify right side
    154,469,346x = 54,354,491,807,688,000
  5. Step 5: Solve for x
    x = 54,354,491,807,688,000/154,469,346
  6. Step 6: Final answer
    x = 351,878,823.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.