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Finding the Third Proportional to 171,490,468 and 365,102,504

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Solution

The third proportional to 171,490,468 and 365,102,504 is: 777,301,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,490,468 : 365,102,504 = 365,102,504 : x
  2. Step 2: Convert to fraction form
    171,490,468/365,102,504 = 365,102,504/x
  3. Step 3: Cross multiply
    171,490,468x = 365,102,504 × 365,102,504
  4. Step 4: Simplify right side
    171,490,468x = 133,299,838,427,070,016
  5. Step 5: Solve for x
    x = 133,299,838,427,070,016/171,490,468
  6. Step 6: Final answer
    x = 777,301,735.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.