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Finding the Third Proportional to 106,131,084 and 230,953,728

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Solution

The third proportional to 106,131,084 and 230,953,728 is: 502,582,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,131,084 : 230,953,728 = 230,953,728 : x
  2. Step 2: Convert to fraction form
    106,131,084/230,953,728 = 230,953,728/x
  3. Step 3: Cross multiply
    106,131,084x = 230,953,728 × 230,953,728
  4. Step 4: Simplify right side
    106,131,084x = 53,339,624,477,097,984
  5. Step 5: Solve for x
    x = 53,339,624,477,097,984/106,131,084
  6. Step 6: Final answer
    x = 502,582,490.13

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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.