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Finding the Third Proportional to 84,600,823.50 and 185,531,976

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Solution

The third proportional to 84,600,823.50 and 185,531,976 is: 406,876,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,600,823.50 : 185,531,976 = 185,531,976 : x
  2. Step 2: Convert to fraction form
    84,600,823.50/185,531,976 = 185,531,976/x
  3. Step 3: Cross multiply
    84,600,823.50x = 185,531,976 × 185,531,976
  4. Step 4: Simplify right side
    84,600,823.50x = 34,422,114,118,464,576
  5. Step 5: Solve for x
    x = 34,422,114,118,464,576/84,600,823.50
  6. Step 6: Final answer
    x = 406,876,820.99

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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.