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Finding the Third Proportional to 101,421,737 and 151,535,568

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Solution

The third proportional to 101,421,737 and 151,535,568 is: 226,411,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,421,737 : 151,535,568 = 151,535,568 : x
  2. Step 2: Convert to fraction form
    101,421,737/151,535,568 = 151,535,568/x
  3. Step 3: Cross multiply
    101,421,737x = 151,535,568 × 151,535,568
  4. Step 4: Simplify right side
    101,421,737x = 22,963,028,369,082,624
  5. Step 5: Solve for x
    x = 22,963,028,369,082,624/101,421,737
  6. Step 6: Final answer
    x = 226,411,310.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.