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Finding the Third Proportional to 48,039,158,097 and 100,054,487,931

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Solution

The third proportional to 48,039,158,097 and 100,054,487,931 is: 208,390,424,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039,158,097 : 100,054,487,931 = 100,054,487,931 : x
  2. Step 2: Convert to fraction form
    48,039,158,097/100,054,487,931 = 100,054,487,931/x
  3. Step 3: Cross multiply
    48,039,158,097x = 100,054,487,931 × 100,054,487,931
  4. Step 4: Simplify right side
    48,039,158,097x = 10,010,900,555,134,624,858,112
  5. Step 5: Solve for x
    x = 10,010,900,555,134,624,858,112/48,039,158,097
  6. Step 6: Final answer
    x = 208,390,424,639.02

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Why These Related Problems?

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