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Finding the Third Proportional to 48,039,158,090.25 and 100,054,487,918.25

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Solution

The third proportional to 48,039,158,090.25 and 100,054,487,918.25 is: 208,390,424,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,039,158,090.25 : 100,054,487,918.25 = 100,054,487,918.25 : x
  2. Step 2: Convert to fraction form
    48,039,158,090.25/100,054,487,918.25 = 100,054,487,918.25/x
  3. Step 3: Cross multiply
    48,039,158,090.25x = 100,054,487,918.25 × 100,054,487,918.25
  4. Step 4: Simplify right side
    48,039,158,090.25x = 10,010,900,552,583,236,026,368
  5. Step 5: Solve for x
    x = 10,010,900,552,583,236,026,368/48,039,158,090.25
  6. Step 6: Final answer
    x = 208,390,424,615.19

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1.5x scale

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.