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Finding the Third Proportional to 207,037,818 and 443,159,100

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Solution

The third proportional to 207,037,818 and 443,159,100 is: 948,570,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,037,818 : 443,159,100 = 443,159,100 : x
  2. Step 2: Convert to fraction form
    207,037,818/443,159,100 = 443,159,100/x
  3. Step 3: Cross multiply
    207,037,818x = 443,159,100 × 443,159,100
  4. Step 4: Simplify right side
    207,037,818x = 196,389,987,912,809,984
  5. Step 5: Solve for x
    x = 196,389,987,912,809,984/207,037,818
  6. Step 6: Final answer
    x = 948,570,603.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.