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Finding the Third Proportional to 46,770,496 and 102,040,159

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Solution

The third proportional to 46,770,496 and 102,040,159 is: 222,623,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770,496 : 102,040,159 = 102,040,159 : x
  2. Step 2: Convert to fraction form
    46,770,496/102,040,159 = 102,040,159/x
  3. Step 3: Cross multiply
    46,770,496x = 102,040,159 × 102,040,159
  4. Step 4: Simplify right side
    46,770,496x = 10,412,194,048,745,280
  5. Step 5: Solve for x
    x = 10,412,194,048,745,280/46,770,496
  6. Step 6: Final answer
    x = 222,623,126.53

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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.