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Finding the Third Proportional to 99,373,832 and 216,243,664

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Solution

The third proportional to 99,373,832 and 216,243,664 is: 470,559,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,373,832 : 216,243,664 = 216,243,664 : x
  2. Step 2: Convert to fraction form
    99,373,832/216,243,664 = 216,243,664/x
  3. Step 3: Cross multiply
    99,373,832x = 216,243,664 × 216,243,664
  4. Step 4: Simplify right side
    99,373,832x = 46,761,322,220,144,896
  5. Step 5: Solve for x
    x = 46,761,322,220,144,896/99,373,832
  6. Step 6: Final answer
    x = 470,559,716.57

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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.