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Finding the Third Proportional to 75,324,460.50 and 159,688,035

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Solution

The third proportional to 75,324,460.50 and 159,688,035 is: 338,539,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,324,460.50 : 159,688,035 = 159,688,035 : x
  2. Step 2: Convert to fraction form
    75,324,460.50/159,688,035 = 159,688,035/x
  3. Step 3: Cross multiply
    75,324,460.50x = 159,688,035 × 159,688,035
  4. Step 4: Simplify right side
    75,324,460.50x = 25,500,268,522,161,224
  5. Step 5: Solve for x
    x = 25,500,268,522,161,224/75,324,460.50
  6. Step 6: Final answer
    x = 338,539,013.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.