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Finding the Third Proportional to 83,053,975.50 and 181,739,407.50

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Solution

The third proportional to 83,053,975.50 and 181,739,407.50 is: 397,683,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,053,975.50 : 181,739,407.50 = 181,739,407.50 : x
  2. Step 2: Convert to fraction form
    83,053,975.50/181,739,407.50 = 181,739,407.50/x
  3. Step 3: Cross multiply
    83,053,975.50x = 181,739,407.50 × 181,739,407.50
  4. Step 4: Simplify right side
    83,053,975.50x = 33,029,212,238,451,056
  5. Step 5: Solve for x
    x = 33,029,212,238,451,056/83,053,975.50
  6. Step 6: Final answer
    x = 397,683,699.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.