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Finding the Third Proportional to 172,272,432.75 and 264,795,201.75

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Solution

The third proportional to 172,272,432.75 and 264,795,201.75 is: 407,009,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,432.75 : 264,795,201.75 = 264,795,201.75 : x
  2. Step 2: Convert to fraction form
    172,272,432.75/264,795,201.75 = 264,795,201.75/x
  3. Step 3: Cross multiply
    172,272,432.75x = 264,795,201.75 × 264,795,201.75
  4. Step 4: Simplify right side
    172,272,432.75x = 70,116,498,869,823,200
  5. Step 5: Solve for x
    x = 70,116,498,869,823,200/172,272,432.75
  6. Step 6: Final answer
    x = 407,009,396.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.