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Finding the Third Proportional to 106,357,915 and 231,350,710

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Solution

The third proportional to 106,357,915 and 231,350,710 is: 503,236,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,915 : 231,350,710 = 231,350,710 : x
  2. Step 2: Convert to fraction form
    106,357,915/231,350,710 = 231,350,710/x
  3. Step 3: Cross multiply
    106,357,915x = 231,350,710 × 231,350,710
  4. Step 4: Simplify right side
    106,357,915x = 53,523,151,017,504,096
  5. Step 5: Solve for x
    x = 53,523,151,017,504,096/106,357,915
  6. Step 6: Final answer
    x = 503,236,181.51

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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.