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Finding the Third Proportional to 200,607,745.50 and 277,194,332.25

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Solution

The third proportional to 200,607,745.50 and 277,194,332.25 is: 383,019,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,607,745.50 : 277,194,332.25 = 277,194,332.25 : x
  2. Step 2: Convert to fraction form
    200,607,745.50/277,194,332.25 = 277,194,332.25/x
  3. Step 3: Cross multiply
    200,607,745.50x = 277,194,332.25 × 277,194,332.25
  4. Step 4: Simplify right side
    200,607,745.50x = 76,836,697,831,523,392
  5. Step 5: Solve for x
    x = 76,836,697,831,523,392/200,607,745.50
  6. Step 6: Final answer
    x = 383,019,596.98

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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.