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Finding the Third Proportional to 92,537,915,811 and 201,504,038,850

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Solution

The third proportional to 92,537,915,811 and 201,504,038,850 is: 438,780,983,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,537,915,811 : 201,504,038,850 = 201,504,038,850 : x
  2. Step 2: Convert to fraction form
    92,537,915,811/201,504,038,850 = 201,504,038,850/x
  3. Step 3: Cross multiply
    92,537,915,811x = 201,504,038,850 × 201,504,038,850
  4. Step 4: Simplify right side
    92,537,915,811x = 40,603,877,672,862,309,416,960
  5. Step 5: Solve for x
    x = 40,603,877,672,862,309,416,960/92,537,915,811
  6. Step 6: Final answer
    x = 438,780,983,092.29

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Why These Related Problems?

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