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Finding the Third Proportional to 133,341,810 and 200,367,717.75

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Solution

The third proportional to 133,341,810 and 200,367,717.75 is: 301,085,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341,810 : 200,367,717.75 = 200,367,717.75 : x
  2. Step 2: Convert to fraction form
    133,341,810/200,367,717.75 = 200,367,717.75/x
  3. Step 3: Cross multiply
    133,341,810x = 200,367,717.75 × 200,367,717.75
  4. Step 4: Simplify right side
    133,341,810x = 40,147,222,316,343,664
  5. Step 5: Solve for x
    x = 40,147,222,316,343,664/133,341,810
  6. Step 6: Final answer
    x = 301,085,025.89

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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.