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Finding the Third Proportional to 173,716,601 and 264,645,233.25

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Solution

The third proportional to 173,716,601 and 264,645,233.25 is: 403,168,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,716,601 : 264,645,233.25 = 264,645,233.25 : x
  2. Step 2: Convert to fraction form
    173,716,601/264,645,233.25 = 264,645,233.25/x
  3. Step 3: Cross multiply
    173,716,601x = 264,645,233.25 × 264,645,233.25
  4. Step 4: Simplify right side
    173,716,601x = 70,037,099,481,946,904
  5. Step 5: Solve for x
    x = 70,037,099,481,946,904/173,716,601
  6. Step 6: Final answer
    x = 403,168,718.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.