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Finding the Third Proportional to 193,939,089,192 and 453,129,221,279

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Solution

The third proportional to 193,939,089,192 and 453,129,221,279 is: 1,058,714,321,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,939,089,192 : 453,129,221,279 = 453,129,221,279 : x
  2. Step 2: Convert to fraction form
    193,939,089,192/453,129,221,279 = 453,129,221,279/x
  3. Step 3: Cross multiply
    193,939,089,192x = 453,129,221,279 × 453,129,221,279
  4. Step 4: Simplify right side
    193,939,089,192x = 205,326,091,176,912,957,210,624
  5. Step 5: Solve for x
    x = 205,326,091,176,912,957,210,624/193,939,089,192
  6. Step 6: Final answer
    x = 1,058,714,321,245.68

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.