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Finding the Third Proportional to 208,844,522 and 442,585,024

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Solution

The third proportional to 208,844,522 and 442,585,024 is: 937,929,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,844,522 : 442,585,024 = 442,585,024 : x
  2. Step 2: Convert to fraction form
    208,844,522/442,585,024 = 442,585,024/x
  3. Step 3: Cross multiply
    208,844,522x = 442,585,024 × 442,585,024
  4. Step 4: Simplify right side
    208,844,522x = 195,881,503,469,080,576
  5. Step 5: Solve for x
    x = 195,881,503,469,080,576/208,844,522
  6. Step 6: Final answer
    x = 937,929,813.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.