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Finding the Third Proportional to 172,273,100.06 and 264,796,100.06

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Solution

The third proportional to 172,273,100.06 and 264,796,100.06 is: 407,010,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,100.06 : 264,796,100.06 = 264,796,100.06 : x
  2. Step 2: Convert to fraction form
    172,273,100.06/264,796,100.06 = 264,796,100.06/x
  3. Step 3: Cross multiply
    172,273,100.06x = 264,796,100.06 × 264,796,100.06
  4. Step 4: Simplify right side
    172,273,100.06x = 70,116,974,608,309,512
  5. Step 5: Solve for x
    x = 70,116,974,608,309,512/172,273,100.06
  6. Step 6: Final answer
    x = 407,010,581.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.