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Finding the Third Proportional to 49,563,163 and 107,362,190

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Solution

The third proportional to 49,563,163 and 107,362,190 is: 232,564,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,163 : 107,362,190 = 107,362,190 : x
  2. Step 2: Convert to fraction form
    49,563,163/107,362,190 = 107,362,190/x
  3. Step 3: Cross multiply
    49,563,163x = 107,362,190 × 107,362,190
  4. Step 4: Simplify right side
    49,563,163x = 11,526,639,841,596,100
  5. Step 5: Solve for x
    x = 11,526,639,841,596,100/49,563,163
  6. Step 6: Final answer
    x = 232,564,653.74

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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.