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Finding the Third Proportional to 232,450,138.50 and 505,759,275

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Solution

The third proportional to 232,450,138.50 and 505,759,275 is: 1,100,418,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,450,138.50 : 505,759,275 = 505,759,275 : x
  2. Step 2: Convert to fraction form
    232,450,138.50/505,759,275 = 505,759,275/x
  3. Step 3: Cross multiply
    232,450,138.50x = 505,759,275 × 505,759,275
  4. Step 4: Simplify right side
    232,450,138.50x = 255,792,444,248,525,632
  5. Step 5: Solve for x
    x = 255,792,444,248,525,632/232,450,138.50
  6. Step 6: Final answer
    x = 1,100,418,549.54

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Why These Related Problems?

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