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Finding the Third Proportional to 49,563,156 and 107,362,176

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Solution

The third proportional to 49,563,156 and 107,362,176 is: 232,564,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,156 : 107,362,176 = 107,362,176 : x
  2. Step 2: Convert to fraction form
    49,563,156/107,362,176 = 107,362,176/x
  3. Step 3: Cross multiply
    49,563,156x = 107,362,176 × 107,362,176
  4. Step 4: Simplify right side
    49,563,156x = 11,526,636,835,454,976
  5. Step 5: Solve for x
    x = 11,526,636,835,454,976/49,563,156
  6. Step 6: Final answer
    x = 232,564,625.94

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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.