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Finding the Third Proportional to 201,186,047,706 and 408,283,845,096

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Solution

The third proportional to 201,186,047,706 and 408,283,845,096 is: 828,564,903,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,186,047,706 : 408,283,845,096 = 408,283,845,096 : x
  2. Step 2: Convert to fraction form
    201,186,047,706/408,283,845,096 = 408,283,845,096/x
  3. Step 3: Cross multiply
    201,186,047,706x = 408,283,845,096 × 408,283,845,096
  4. Step 4: Simplify right side
    201,186,047,706x = 166,695,698,166,374,526,353,408
  5. Step 5: Solve for x
    x = 166,695,698,166,374,526,353,408/201,186,047,706
  6. Step 6: Final answer
    x = 828,564,903,317.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.