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Finding the Third Proportional to 106,358,315 and 231,351,409

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Solution

The third proportional to 106,358,315 and 231,351,409 is: 503,237,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,358,315 : 231,351,409 = 231,351,409 : x
  2. Step 2: Convert to fraction form
    106,358,315/231,351,409 = 231,351,409/x
  3. Step 3: Cross multiply
    106,358,315x = 231,351,409 × 231,351,409
  4. Step 4: Simplify right side
    106,358,315x = 53,523,474,446,285,280
  5. Step 5: Solve for x
    x = 53,523,474,446,285,280/106,358,315
  6. Step 6: Final answer
    x = 503,237,329.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.