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Finding the Third Proportional to 84,779,160 and 182,548,879.50

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Solution

The third proportional to 84,779,160 and 182,548,879.50 is: 393,069,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,779,160 : 182,548,879.50 = 182,548,879.50 : x
  2. Step 2: Convert to fraction form
    84,779,160/182,548,879.50 = 182,548,879.50/x
  3. Step 3: Cross multiply
    84,779,160x = 182,548,879.50 × 182,548,879.50
  4. Step 4: Simplify right side
    84,779,160x = 33,324,093,406,705,520
  5. Step 5: Solve for x
    x = 33,324,093,406,705,520/84,779,160
  6. Step 6: Final answer
    x = 393,069,398.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.