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Finding the Third Proportional to 94,385,911,069 and 202,234,670,138

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Solution

The third proportional to 94,385,911,069 and 202,234,670,138 is: 433,315,325,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,385,911,069 : 202,234,670,138 = 202,234,670,138 : x
  2. Step 2: Convert to fraction form
    94,385,911,069/202,234,670,138 = 202,234,670,138/x
  3. Step 3: Cross multiply
    94,385,911,069x = 202,234,670,138 × 202,234,670,138
  4. Step 4: Simplify right side
    94,385,911,069x = 40,898,861,805,825,666,580,480
  5. Step 5: Solve for x
    x = 40,898,861,805,825,666,580,480/94,385,911,069
  6. Step 6: Final answer
    x = 433,315,325,800.34

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