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Finding the Third Proportional to 49,563,153 and 107,362,170

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Solution

The third proportional to 49,563,153 and 107,362,170 is: 232,564,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,153 : 107,362,170 = 107,362,170 : x
  2. Step 2: Convert to fraction form
    49,563,153/107,362,170 = 107,362,170/x
  3. Step 3: Cross multiply
    49,563,153x = 107,362,170 × 107,362,170
  4. Step 4: Simplify right side
    49,563,153x = 11,526,635,547,108,900
  5. Step 5: Solve for x
    x = 11,526,635,547,108,900/49,563,153
  6. Step 6: Final answer
    x = 232,564,614.02

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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.