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Finding the Third Proportional to 73,664,620.50 and 160,407,673.50

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Solution

The third proportional to 73,664,620.50 and 160,407,673.50 is: 349,294,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,664,620.50 : 160,407,673.50 = 160,407,673.50 : x
  2. Step 2: Convert to fraction form
    73,664,620.50/160,407,673.50 = 160,407,673.50/x
  3. Step 3: Cross multiply
    73,664,620.50x = 160,407,673.50 × 160,407,673.50
  4. Step 4: Simplify right side
    73,664,620.50x = 25,730,621,717,682,604
  5. Step 5: Solve for x
    x = 25,730,621,717,682,604/73,664,620.50
  6. Step 6: Final answer
    x = 349,294,159.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.