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Finding the Third Proportional to 184,175,262,842.25 and 400,781,507,846.25

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Solution

The third proportional to 184,175,262,842.25 and 400,781,507,846.25 is: 872,135,674,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,175,262,842.25 : 400,781,507,846.25 = 400,781,507,846.25 : x
  2. Step 2: Convert to fraction form
    184,175,262,842.25/400,781,507,846.25 = 400,781,507,846.25/x
  3. Step 3: Cross multiply
    184,175,262,842.25x = 400,781,507,846.25 × 400,781,507,846.25
  4. Step 4: Simplify right side
    184,175,262,842.25x = 160,625,817,031,513,741,459,456
  5. Step 5: Solve for x
    x = 160,625,817,031,513,741,459,456/184,175,262,842.25
  6. Step 6: Final answer
    x = 872,135,674,208.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.