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Finding the Third Proportional to 207,686,701.50 and 443,171,199

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Solution

The third proportional to 207,686,701.50 and 443,171,199 is: 945,658,581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,686,701.50 : 443,171,199 = 443,171,199 : x
  2. Step 2: Convert to fraction form
    207,686,701.50/443,171,199 = 443,171,199/x
  3. Step 3: Cross multiply
    207,686,701.50x = 443,171,199 × 443,171,199
  4. Step 4: Simplify right side
    207,686,701.50x = 196,400,711,623,097,600
  5. Step 5: Solve for x
    x = 196,400,711,623,097,600/207,686,701.50
  6. Step 6: Final answer
    x = 945,658,581.92

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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.