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Finding the Third Proportional to 143,266,178,538 and 306,657,850,599

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Solution

The third proportional to 143,266,178,538 and 306,657,850,599 is: 656,393,841,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,266,178,538 : 306,657,850,599 = 306,657,850,599 : x
  2. Step 2: Convert to fraction form
    143,266,178,538/306,657,850,599 = 306,657,850,599/x
  3. Step 3: Cross multiply
    143,266,178,538x = 306,657,850,599 × 306,657,850,599
  4. Step 4: Simplify right side
    143,266,178,538x = 94,039,037,333,998,607,007,744
  5. Step 5: Solve for x
    x = 94,039,037,333,998,607,007,744/143,266,178,538
  6. Step 6: Final answer
    x = 656,393,841,823.98

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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.