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Finding the Third Proportional to 172,272,318.25 and 264,795,010

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Solution

The third proportional to 172,272,318.25 and 264,795,010 is: 407,009,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,318.25 : 264,795,010 = 264,795,010 : x
  2. Step 2: Convert to fraction form
    172,272,318.25/264,795,010 = 264,795,010/x
  3. Step 3: Cross multiply
    172,272,318.25x = 264,795,010 × 264,795,010
  4. Step 4: Simplify right side
    172,272,318.25x = 70,116,397,320,900,096
  5. Step 5: Solve for x
    x = 70,116,397,320,900,096/172,272,318.25
  6. Step 6: Final answer
    x = 407,009,077.45

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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.