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Finding the Third Proportional to 49,563,157 and 107,362,178

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Solution

The third proportional to 49,563,157 and 107,362,178 is: 232,564,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,157 : 107,362,178 = 107,362,178 : x
  2. Step 2: Convert to fraction form
    49,563,157/107,362,178 = 107,362,178/x
  3. Step 3: Cross multiply
    49,563,157x = 107,362,178 × 107,362,178
  4. Step 4: Simplify right side
    49,563,157x = 11,526,637,264,903,684
  5. Step 5: Solve for x
    x = 11,526,637,264,903,684/49,563,157
  6. Step 6: Final answer
    x = 232,564,629.91

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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.