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Finding the Third Proportional to 133,435,773 and 292,380,678

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Solution

The third proportional to 133,435,773 and 292,380,678 is: 640,656,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,435,773 : 292,380,678 = 292,380,678 : x
  2. Step 2: Convert to fraction form
    133,435,773/292,380,678 = 292,380,678/x
  3. Step 3: Cross multiply
    133,435,773x = 292,380,678 × 292,380,678
  4. Step 4: Simplify right side
    133,435,773x = 85,486,460,867,739,680
  5. Step 5: Solve for x
    x = 85,486,460,867,739,680/133,435,773
  6. Step 6: Final answer
    x = 640,656,241.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.