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Finding the Third Proportional to 146,273,346 and 304,653,650

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Solution

The third proportional to 146,273,346 and 304,653,650 is: 634,523,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,273,346 : 304,653,650 = 304,653,650 : x
  2. Step 2: Convert to fraction form
    146,273,346/304,653,650 = 304,653,650/x
  3. Step 3: Cross multiply
    146,273,346x = 304,653,650 × 304,653,650
  4. Step 4: Simplify right side
    146,273,346x = 92,813,846,458,322,496
  5. Step 5: Solve for x
    x = 92,813,846,458,322,496/146,273,346
  6. Step 6: Final answer
    x = 634,523,301.73

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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.