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Finding the Third Proportional to 133,341,769 and 200,367,659

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Solution

The third proportional to 133,341,769 and 200,367,659 is: 301,084,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341,769 : 200,367,659 = 200,367,659 : x
  2. Step 2: Convert to fraction form
    133,341,769/200,367,659 = 200,367,659/x
  3. Step 3: Cross multiply
    133,341,769x = 200,367,659 × 200,367,659
  4. Step 4: Simplify right side
    133,341,769x = 40,147,198,773,140,280
  5. Step 5: Solve for x
    x = 40,147,198,773,140,280/133,341,769
  6. Step 6: Final answer
    x = 301,084,941.91

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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.