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Finding the Third Proportional to 81,821,551.50 and 181,803,433.50

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Solution

The third proportional to 81,821,551.50 and 181,803,433.50 is: 403,958,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,821,551.50 : 181,803,433.50 = 181,803,433.50 : x
  2. Step 2: Convert to fraction form
    81,821,551.50/181,803,433.50 = 181,803,433.50/x
  3. Step 3: Cross multiply
    81,821,551.50x = 181,803,433.50 × 181,803,433.50
  4. Step 4: Simplify right side
    81,821,551.50x = 33,052,488,432,388,924
  5. Step 5: Solve for x
    x = 33,052,488,432,388,924/81,821,551.50
  6. Step 6: Final answer
    x = 403,958,221.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.