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Finding the Third Proportional to 193,939,089,190 and 453,129,221,274

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Solution

The third proportional to 193,939,089,190 and 453,129,221,274 is: 1,058,714,321,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,939,089,190 : 453,129,221,274 = 453,129,221,274 : x
  2. Step 2: Convert to fraction form
    193,939,089,190/453,129,221,274 = 453,129,221,274/x
  3. Step 3: Cross multiply
    193,939,089,190x = 453,129,221,274 × 453,129,221,274
  4. Step 4: Simplify right side
    193,939,089,190x = 205,326,091,172,381,666,050,048
  5. Step 5: Solve for x
    x = 205,326,091,172,381,666,050,048/193,939,089,190
  6. Step 6: Final answer
    x = 1,058,714,321,233.23

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Why These Related Problems?

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