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Finding the Third Proportional to 55,242,489.50 and 76,810,286.50

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Solution

The third proportional to 55,242,489.50 and 76,810,286.50 is: 106,798,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242,489.50 : 76,810,286.50 = 76,810,286.50 : x
  2. Step 2: Convert to fraction form
    55,242,489.50/76,810,286.50 = 76,810,286.50/x
  3. Step 3: Cross multiply
    55,242,489.50x = 76,810,286.50 × 76,810,286.50
  4. Step 4: Simplify right side
    55,242,489.50x = 5,899,820,112,212,082
  5. Step 5: Solve for x
    x = 5,899,820,112,212,082/55,242,489.50
  6. Step 6: Final answer
    x = 106,798,592.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.