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Finding the Third Proportional to 172,272,325 and 264,795,021

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Solution

The third proportional to 172,272,325 and 264,795,021 is: 407,009,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,325 : 264,795,021 = 264,795,021 : x
  2. Step 2: Convert to fraction form
    172,272,325/264,795,021 = 264,795,021/x
  3. Step 3: Cross multiply
    172,272,325x = 264,795,021 × 264,795,021
  4. Step 4: Simplify right side
    172,272,325x = 70,116,403,146,390,440
  5. Step 5: Solve for x
    x = 70,116,403,146,390,440/172,272,325
  6. Step 6: Final answer
    x = 407,009,095.32

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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.