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Finding the Third Proportional to 143,266,178,549 and 306,657,850,621

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Solution

The third proportional to 143,266,178,549 and 306,657,850,621 is: 656,393,841,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,266,178,549 : 306,657,850,621 = 306,657,850,621 : x
  2. Step 2: Convert to fraction form
    143,266,178,549/306,657,850,621 = 306,657,850,621/x
  3. Step 3: Cross multiply
    143,266,178,549x = 306,657,850,621 × 306,657,850,621
  4. Step 4: Simplify right side
    143,266,178,549x = 94,039,037,347,491,548,758,016
  5. Step 5: Solve for x
    x = 94,039,037,347,491,548,758,016/143,266,178,549
  6. Step 6: Final answer
    x = 656,393,841,867.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.