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Finding the Third Proportional to 90,660,631,266 and 194,056,926,336

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Solution

The third proportional to 90,660,631,266 and 194,056,926,336 is: 415,374,238,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,660,631,266 : 194,056,926,336 = 194,056,926,336 : x
  2. Step 2: Convert to fraction form
    90,660,631,266/194,056,926,336 = 194,056,926,336/x
  3. Step 3: Cross multiply
    90,660,631,266x = 194,056,926,336 × 194,056,926,336
  4. Step 4: Simplify right side
    90,660,631,266x = 37,658,090,658,975,730,106,368
  5. Step 5: Solve for x
    x = 37,658,090,658,975,730,106,368/90,660,631,266
  6. Step 6: Final answer
    x = 415,374,238,333.79

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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.