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Finding the Third Proportional to 49,735,365 and 107,029,002

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Solution

The third proportional to 49,735,365 and 107,029,002 is: 230,323,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,735,365 : 107,029,002 = 107,029,002 : x
  2. Step 2: Convert to fraction form
    49,735,365/107,029,002 = 107,029,002/x
  3. Step 3: Cross multiply
    49,735,365x = 107,029,002 × 107,029,002
  4. Step 4: Simplify right side
    49,735,365x = 11,455,207,269,116,004
  5. Step 5: Solve for x
    x = 11,455,207,269,116,004/49,735,365
  6. Step 6: Final answer
    x = 230,323,176.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.