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Finding the Third Proportional to 146,273,394 and 304,653,750

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Solution

The third proportional to 146,273,394 and 304,653,750 is: 634,523,510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,273,394 : 304,653,750 = 304,653,750 : x
  2. Step 2: Convert to fraction form
    146,273,394/304,653,750 = 304,653,750/x
  3. Step 3: Cross multiply
    146,273,394x = 304,653,750 × 304,653,750
  4. Step 4: Simplify right side
    146,273,394x = 92,813,907,389,062,496
  5. Step 5: Solve for x
    x = 92,813,907,389,062,496/146,273,394
  6. Step 6: Final answer
    x = 634,523,510.06

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.