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Finding the Third Proportional to 120,403,967 and 263,810,800

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Solution

The third proportional to 120,403,967 and 263,810,800 is: 578,021,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,403,967 : 263,810,800 = 263,810,800 : x
  2. Step 2: Convert to fraction form
    120,403,967/263,810,800 = 263,810,800/x
  3. Step 3: Cross multiply
    120,403,967x = 263,810,800 × 263,810,800
  4. Step 4: Simplify right side
    120,403,967x = 69,596,138,196,640,000
  5. Step 5: Solve for x
    x = 69,596,138,196,640,000/120,403,967
  6. Step 6: Final answer
    x = 578,021,969.96

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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.