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Finding the Third Proportional to 207,684,258 and 443,166,420

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Solution

The third proportional to 207,684,258 and 443,166,420 is: 945,649,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,684,258 : 443,166,420 = 443,166,420 : x
  2. Step 2: Convert to fraction form
    207,684,258/443,166,420 = 443,166,420/x
  3. Step 3: Cross multiply
    207,684,258x = 443,166,420 × 443,166,420
  4. Step 4: Simplify right side
    207,684,258x = 196,396,475,815,616,384
  5. Step 5: Solve for x
    x = 196,396,475,815,616,384/207,684,258
  6. Step 6: Final answer
    x = 945,649,312.60

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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.