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Finding the Third Proportional to 49,842,792,509.50 and 107,245,164,880.50

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Solution

The third proportional to 49,842,792,509.50 and 107,245,164,880.50 is: 230,756,039,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842,792,509.50 : 107,245,164,880.50 = 107,245,164,880.50 : x
  2. Step 2: Convert to fraction form
    49,842,792,509.50/107,245,164,880.50 = 107,245,164,880.50/x
  3. Step 3: Cross multiply
    49,842,792,509.50x = 107,245,164,880.50 × 107,245,164,880.50
  4. Step 4: Simplify right side
    49,842,792,509.50x = 11,501,525,390,245,631,098,880
  5. Step 5: Solve for x
    x = 11,501,525,390,245,631,098,880/49,842,792,509.50
  6. Step 6: Final answer
    x = 230,756,039,362.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.