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Finding the Third Proportional to 137,019,331,428.75 and 285,314,774,235.75

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Solution

The third proportional to 137,019,331,428.75 and 285,314,774,235.75 is: 594,109,747,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,019,331,428.75 : 285,314,774,235.75 = 285,314,774,235.75 : x
  2. Step 2: Convert to fraction form
    137,019,331,428.75/285,314,774,235.75 = 285,314,774,235.75/x
  3. Step 3: Cross multiply
    137,019,331,428.75x = 285,314,774,235.75 × 285,314,774,235.75
  4. Step 4: Simplify right side
    137,019,331,428.75x = 81,404,520,397,196,987,727,872
  5. Step 5: Solve for x
    x = 81,404,520,397,196,987,727,872/137,019,331,428.75
  6. Step 6: Final answer
    x = 594,109,747,495.94

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.