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Finding the Third Proportional to 48,039,158,100.38 and 100,054,487,939.62

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Solution

The third proportional to 48,039,158,100.38 and 100,054,487,939.62 is: 208,390,424,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039,158,100.38 : 100,054,487,939.62 = 100,054,487,939.62 : x
  2. Step 2: Convert to fraction form
    48,039,158,100.38/100,054,487,939.62 = 100,054,487,939.62/x
  3. Step 3: Cross multiply
    48,039,158,100.38x = 100,054,487,939.62 × 100,054,487,939.62
  4. Step 4: Simplify right side
    48,039,158,100.38x = 10,010,900,556,859,563,835,392
  5. Step 5: Solve for x
    x = 10,010,900,556,859,563,835,392/48,039,158,100.38
  6. Step 6: Final answer
    x = 208,390,424,660.28

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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.