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Finding the Third Proportional to 209,706,084 and 459,722,952

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Solution

The third proportional to 209,706,084 and 459,722,952 is: 1,007,816,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,706,084 : 459,722,952 = 459,722,952 : x
  2. Step 2: Convert to fraction form
    209,706,084/459,722,952 = 459,722,952/x
  3. Step 3: Cross multiply
    209,706,084x = 459,722,952 × 459,722,952
  4. Step 4: Simplify right side
    209,706,084x = 211,345,192,595,594,304
  5. Step 5: Solve for x
    x = 211,345,192,595,594,304/209,706,084
  6. Step 6: Final answer
    x = 1,007,816,218.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.