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Finding the Third Proportional to 90,660,631,268 and 194,056,926,340

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Solution

The third proportional to 90,660,631,268 and 194,056,926,340 is: 415,374,238,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,660,631,268 : 194,056,926,340 = 194,056,926,340 : x
  2. Step 2: Convert to fraction form
    90,660,631,268/194,056,926,340 = 194,056,926,340/x
  3. Step 3: Cross multiply
    90,660,631,268x = 194,056,926,340 × 194,056,926,340
  4. Step 4: Simplify right side
    90,660,631,268x = 37,658,090,660,528,184,623,104
  5. Step 5: Solve for x
    x = 37,658,090,660,528,184,623,104/90,660,631,268
  6. Step 6: Final answer
    x = 415,374,238,341.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.