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Finding the Third Proportional to 181,421,159.48 and 280,151,958.66

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Solution

The third proportional to 181,421,159.48 and 280,151,958.66 is: 432,612,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,421,159.48 : 280,151,958.66 = 280,151,958.66 : x
  2. Step 2: Convert to fraction form
    181,421,159.48/280,151,958.66 = 280,151,958.66/x
  3. Step 3: Cross multiply
    181,421,159.48x = 280,151,958.66 × 280,151,958.66
  4. Step 4: Simplify right side
    181,421,159.48x = 78,485,119,938,933,216
  5. Step 5: Solve for x
    x = 78,485,119,938,933,216/181,421,159.48
  6. Step 6: Final answer
    x = 432,612,822.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.