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Finding the Third Proportional to 227,423,871 and 349,350,884.25

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Solution

The third proportional to 227,423,871 and 349,350,884.25 is: 536,645,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,423,871 : 349,350,884.25 = 349,350,884.25 : x
  2. Step 2: Convert to fraction form
    227,423,871/349,350,884.25 = 349,350,884.25/x
  3. Step 3: Cross multiply
    227,423,871x = 349,350,884.25 × 349,350,884.25
  4. Step 4: Simplify right side
    227,423,871x = 122,046,040,326,256,896
  5. Step 5: Solve for x
    x = 122,046,040,326,256,896/227,423,871
  6. Step 6: Final answer
    x = 536,645,690.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.