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Finding the Third Proportional to 66,773,694 and 144,968,296

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Solution

The third proportional to 66,773,694 and 144,968,296 is: 314,731,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,773,694 : 144,968,296 = 144,968,296 : x
  2. Step 2: Convert to fraction form
    66,773,694/144,968,296 = 144,968,296/x
  3. Step 3: Cross multiply
    66,773,694x = 144,968,296 × 144,968,296
  4. Step 4: Simplify right side
    66,773,694x = 21,015,806,845,143,616
  5. Step 5: Solve for x
    x = 21,015,806,845,143,616/66,773,694
  6. Step 6: Final answer
    x = 314,731,829.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.