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Finding the Third Proportional to 91,229,019.75 and 188,925,408.75

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Solution

The third proportional to 91,229,019.75 and 188,925,408.75 is: 391,244,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,229,019.75 : 188,925,408.75 = 188,925,408.75 : x
  2. Step 2: Convert to fraction form
    91,229,019.75/188,925,408.75 = 188,925,408.75/x
  3. Step 3: Cross multiply
    91,229,019.75x = 188,925,408.75 × 188,925,408.75
  4. Step 4: Simplify right side
    91,229,019.75x = 35,692,810,071,354,576
  5. Step 5: Solve for x
    x = 35,692,810,071,354,576/91,229,019.75
  6. Step 6: Final answer
    x = 391,244,038.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.