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Finding the Third Proportional to 172,275,329.25 and 264,799,305.56

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Solution

The third proportional to 172,275,329.25 and 264,799,305.56 is: 407,015,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,275,329.25 : 264,799,305.56 = 264,799,305.56 : x
  2. Step 2: Convert to fraction form
    172,275,329.25/264,799,305.56 = 264,799,305.56/x
  3. Step 3: Cross multiply
    172,275,329.25x = 264,799,305.56 × 264,799,305.56
  4. Step 4: Simplify right side
    172,275,329.25x = 70,118,672,226,382,240
  5. Step 5: Solve for x
    x = 70,118,672,226,382,240/172,275,329.25
  6. Step 6: Final answer
    x = 407,015,168.87

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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.