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Finding the Third Proportional to 139,653,244,280 and 306,344,076,016

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Solution

The third proportional to 139,653,244,280 and 306,344,076,016 is: 671,997,943,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,653,244,280 : 306,344,076,016 = 306,344,076,016 : x
  2. Step 2: Convert to fraction form
    139,653,244,280/306,344,076,016 = 306,344,076,016/x
  3. Step 3: Cross multiply
    139,653,244,280x = 306,344,076,016 × 306,344,076,016
  4. Step 4: Simplify right side
    139,653,244,280x = 93,846,692,910,096,789,274,624
  5. Step 5: Solve for x
    x = 93,846,692,910,096,789,274,624/139,653,244,280
  6. Step 6: Final answer
    x = 671,997,943,147.94

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