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Finding the Third Proportional to 201,397,577 and 310,993,086

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Solution

The third proportional to 201,397,577 and 310,993,086 is: 480,227,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397,577 : 310,993,086 = 310,993,086 : x
  2. Step 2: Convert to fraction form
    201,397,577/310,993,086 = 310,993,086/x
  3. Step 3: Cross multiply
    201,397,577x = 310,993,086 × 310,993,086
  4. Step 4: Simplify right side
    201,397,577x = 96,716,699,539,803,392
  5. Step 5: Solve for x
    x = 96,716,699,539,803,392/201,397,577
  6. Step 6: Final answer
    x = 480,227,721.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.