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Finding the Third Proportional to 133,341,660 and 200,367,489.75

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Solution

The third proportional to 133,341,660 and 200,367,489.75 is: 301,084,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341,660 : 200,367,489.75 = 200,367,489.75 : x
  2. Step 2: Convert to fraction form
    133,341,660/200,367,489.75 = 200,367,489.75/x
  3. Step 3: Cross multiply
    133,341,660x = 200,367,489.75 × 200,367,489.75
  4. Step 4: Simplify right side
    133,341,660x = 40,147,130,948,716,352
  5. Step 5: Solve for x
    x = 40,147,130,948,716,352/133,341,660
  6. Step 6: Final answer
    x = 301,084,679.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.