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Finding the Third Proportional to 177,280,284.50 and 264,943,338.50

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Solution

The third proportional to 177,280,284.50 and 264,943,338.50 is: 395,954,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,280,284.50 : 264,943,338.50 = 264,943,338.50 : x
  2. Step 2: Convert to fraction form
    177,280,284.50/264,943,338.50 = 264,943,338.50/x
  3. Step 3: Cross multiply
    177,280,284.50x = 264,943,338.50 × 264,943,338.50
  4. Step 4: Simplify right side
    177,280,284.50x = 70,194,972,615,525,584
  5. Step 5: Solve for x
    x = 70,194,972,615,525,584/177,280,284.50
  6. Step 6: Final answer
    x = 395,954,760.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.