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Finding the Third Proportional to 49,583,702 and 107,134,645

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Solution

The third proportional to 49,583,702 and 107,134,645 is: 231,483,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583,702 : 107,134,645 = 107,134,645 : x
  2. Step 2: Convert to fraction form
    49,583,702/107,134,645 = 107,134,645/x
  3. Step 3: Cross multiply
    49,583,702x = 107,134,645 × 107,134,645
  4. Step 4: Simplify right side
    49,583,702x = 11,477,832,159,276,024
  5. Step 5: Solve for x
    x = 11,477,832,159,276,024/49,583,702
  6. Step 6: Final answer
    x = 231,483,969.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.