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Finding the Third Proportional to 209,760,084 and 317,551,752

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Solution

The third proportional to 209,760,084 and 317,551,752 is: 480,735,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760,084 : 317,551,752 = 317,551,752 : x
  2. Step 2: Convert to fraction form
    209,760,084/317,551,752 = 317,551,752/x
  3. Step 3: Cross multiply
    209,760,084x = 317,551,752 × 317,551,752
  4. Step 4: Simplify right side
    209,760,084x = 100,839,115,198,269,504
  5. Step 5: Solve for x
    x = 100,839,115,198,269,504/209,760,084
  6. Step 6: Final answer
    x = 480,735,482.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.