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Finding the Third Proportional to 172,272,327 and 264,795,022.50

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Solution

The third proportional to 172,272,327 and 264,795,022.50 is: 407,009,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,327 : 264,795,022.50 = 264,795,022.50 : x
  2. Step 2: Convert to fraction form
    172,272,327/264,795,022.50 = 264,795,022.50/x
  3. Step 3: Cross multiply
    172,272,327x = 264,795,022.50 × 264,795,022.50
  4. Step 4: Simplify right side
    172,272,327x = 70,116,403,940,775,504
  5. Step 5: Solve for x
    x = 70,116,403,940,775,504/172,272,327
  6. Step 6: Final answer
    x = 407,009,095.20

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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.