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Finding the Third Proportional to 49,563,164 and 107,362,191

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Solution

The third proportional to 49,563,164 and 107,362,191 is: 232,564,653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,164 : 107,362,191 = 107,362,191 : x
  2. Step 2: Convert to fraction form
    49,563,164/107,362,191 = 107,362,191/x
  3. Step 3: Cross multiply
    49,563,164x = 107,362,191 × 107,362,191
  4. Step 4: Simplify right side
    49,563,164x = 11,526,640,056,320,480
  5. Step 5: Solve for x
    x = 11,526,640,056,320,480/49,563,164
  6. Step 6: Final answer
    x = 232,564,653.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.