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Finding the Third Proportional to 236,291,757,112.75 and 508,421,522,460.25

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Solution

The third proportional to 236,291,757,112.75 and 508,421,522,460.25 is: 1,093,954,557,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,291,757,112.75 : 508,421,522,460.25 = 508,421,522,460.25 : x
  2. Step 2: Convert to fraction form
    236,291,757,112.75/508,421,522,460.25 = 508,421,522,460.25/x
  3. Step 3: Cross multiply
    236,291,757,112.75x = 508,421,522,460.25 × 508,421,522,460.25
  4. Step 4: Simplify right side
    236,291,757,112.75x = 258,492,444,500,798,493,163,520
  5. Step 5: Solve for x
    x = 258,492,444,500,798,493,163,520/236,291,757,112.75
  6. Step 6: Final answer
    x = 1,093,954,557,109.05

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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.