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Finding the Third Proportional to 139,653,244,288 and 306,344,076,032

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Solution

The third proportional to 139,653,244,288 and 306,344,076,032 is: 671,997,943,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,653,244,288 : 306,344,076,032 = 306,344,076,032 : x
  2. Step 2: Convert to fraction form
    139,653,244,288/306,344,076,032 = 306,344,076,032/x
  3. Step 3: Cross multiply
    139,653,244,288x = 306,344,076,032 × 306,344,076,032
  4. Step 4: Simplify right side
    139,653,244,288x = 93,846,692,919,899,800,469,504
  5. Step 5: Solve for x
    x = 93,846,692,919,899,800,469,504/139,653,244,288
  6. Step 6: Final answer
    x = 671,997,943,179.64

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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.