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Finding the Third Proportional to 225,613,883,764.50 and 341,322,529,326.75

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Solution

The third proportional to 225,613,883,764.50 and 341,322,529,326.75 is: 516,373,669,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,613,883,764.50 : 341,322,529,326.75 = 341,322,529,326.75 : x
  2. Step 2: Convert to fraction form
    225,613,883,764.50/341,322,529,326.75 = 341,322,529,326.75/x
  3. Step 3: Cross multiply
    225,613,883,764.50x = 341,322,529,326.75 × 341,322,529,326.75
  4. Step 4: Simplify right side
    225,613,883,764.50x = 116,501,069,026,010,108,788,736
  5. Step 5: Solve for x
    x = 116,501,069,026,010,108,788,736/225,613,883,764.50
  6. Step 6: Final answer
    x = 516,373,669,395.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.