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Finding the Third Proportional to 55,734,905.25 and 116,551,713.75

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Solution

The third proportional to 55,734,905.25 and 116,551,713.75 is: 243,730,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734,905.25 : 116,551,713.75 = 116,551,713.75 : x
  2. Step 2: Convert to fraction form
    55,734,905.25/116,551,713.75 = 116,551,713.75/x
  3. Step 3: Cross multiply
    55,734,905.25x = 116,551,713.75 × 116,551,713.75
  4. Step 4: Simplify right side
    55,734,905.25x = 13,584,301,978,061,940
  5. Step 5: Solve for x
    x = 13,584,301,978,061,940/55,734,905.25
  6. Step 6: Final answer
    x = 243,730,601.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.