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Finding the Third Proportional to 88,375,133 and 192,047,647.75

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Solution

The third proportional to 88,375,133 and 192,047,647.75 is: 417,337,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,375,133 : 192,047,647.75 = 192,047,647.75 : x
  2. Step 2: Convert to fraction form
    88,375,133/192,047,647.75 = 192,047,647.75/x
  3. Step 3: Cross multiply
    88,375,133x = 192,047,647.75 × 192,047,647.75
  4. Step 4: Simplify right side
    88,375,133x = 36,882,299,006,308,080
  5. Step 5: Solve for x
    x = 36,882,299,006,308,080/88,375,133
  6. Step 6: Final answer
    x = 417,337,974.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.