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Finding the Third Proportional to 48,039,158,094.75 and 100,054,487,927.25

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Solution

The third proportional to 48,039,158,094.75 and 100,054,487,927.25 is: 208,390,424,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039,158,094.75 : 100,054,487,927.25 = 100,054,487,927.25 : x
  2. Step 2: Convert to fraction form
    48,039,158,094.75/100,054,487,927.25 = 100,054,487,927.25/x
  3. Step 3: Cross multiply
    48,039,158,094.75x = 100,054,487,927.25 × 100,054,487,927.25
  4. Step 4: Simplify right side
    48,039,158,094.75x = 10,010,900,554,384,215,638,016
  5. Step 5: Solve for x
    x = 10,010,900,554,384,215,638,016/48,039,158,094.75
  6. Step 6: Final answer
    x = 208,390,424,633.16

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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.