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Finding the Third Proportional to 171,490,464 and 365,102,496

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Solution

The third proportional to 171,490,464 and 365,102,496 is: 777,301,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,490,464 : 365,102,496 = 365,102,496 : x
  2. Step 2: Convert to fraction form
    171,490,464/365,102,496 = 365,102,496/x
  3. Step 3: Cross multiply
    171,490,464x = 365,102,496 × 365,102,496
  4. Step 4: Simplify right side
    171,490,464x = 133,299,832,585,430,016
  5. Step 5: Solve for x
    x = 133,299,832,585,430,016/171,490,464
  6. Step 6: Final answer
    x = 777,301,719.74

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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.