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Finding the Third Proportional to 148,894,321.50 and 327,178,521

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Solution

The third proportional to 148,894,321.50 and 327,178,521 is: 718,937,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,894,321.50 : 327,178,521 = 327,178,521 : x
  2. Step 2: Convert to fraction form
    148,894,321.50/327,178,521 = 327,178,521/x
  3. Step 3: Cross multiply
    148,894,321.50x = 327,178,521 × 327,178,521
  4. Step 4: Simplify right side
    148,894,321.50x = 107,045,784,603,747,440
  5. Step 5: Solve for x
    x = 107,045,784,603,747,440/148,894,321.50
  6. Step 6: Final answer
    x = 718,937,992.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.