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Finding the Third Proportional to 161,497,024.75 and 354,260,221.75

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Solution

The third proportional to 161,497,024.75 and 354,260,221.75 is: 777,105,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497,024.75 : 354,260,221.75 = 354,260,221.75 : x
  2. Step 2: Convert to fraction form
    161,497,024.75/354,260,221.75 = 354,260,221.75/x
  3. Step 3: Cross multiply
    161,497,024.75x = 354,260,221.75 × 354,260,221.75
  4. Step 4: Simplify right side
    161,497,024.75x = 125,500,304,714,359,168
  5. Step 5: Solve for x
    x = 125,500,304,714,359,168/161,497,024.75
  6. Step 6: Final answer
    x = 777,105,986.37

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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.