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Finding the Third Proportional to 200,607,816 and 277,194,440

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Solution

The third proportional to 200,607,816 and 277,194,440 is: 383,019,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,607,816 : 277,194,440 = 277,194,440 : x
  2. Step 2: Convert to fraction form
    200,607,816/277,194,440 = 277,194,440/x
  3. Step 3: Cross multiply
    200,607,816x = 277,194,440 × 277,194,440
  4. Step 4: Simplify right side
    200,607,816x = 76,836,757,566,913,600
  5. Step 5: Solve for x
    x = 76,836,757,566,913,600/200,607,816
  6. Step 6: Final answer
    x = 383,019,760.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.