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Finding the Third Proportional to 172,272,330 and 264,795,029

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Solution

The third proportional to 172,272,330 and 264,795,029 is: 407,009,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,330 : 264,795,029 = 264,795,029 : x
  2. Step 2: Convert to fraction form
    172,272,330/264,795,029 = 264,795,029/x
  3. Step 3: Cross multiply
    172,272,330x = 264,795,029 × 264,795,029
  4. Step 4: Simplify right side
    172,272,330x = 70,116,407,383,110,840
  5. Step 5: Solve for x
    x = 70,116,407,383,110,840/172,272,330
  6. Step 6: Final answer
    x = 407,009,108.10

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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.