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Finding the Third Proportional to 94,385,911,068 and 202,234,670,136

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Solution

The third proportional to 94,385,911,068 and 202,234,670,136 is: 433,315,325,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,385,911,068 : 202,234,670,136 = 202,234,670,136 : x
  2. Step 2: Convert to fraction form
    94,385,911,068/202,234,670,136 = 202,234,670,136/x
  3. Step 3: Cross multiply
    94,385,911,068x = 202,234,670,136 × 202,234,670,136
  4. Step 4: Simplify right side
    94,385,911,068x = 40,898,861,805,016,727,945,216
  5. Step 5: Solve for x
    x = 40,898,861,805,016,727,945,216/94,385,911,068
  6. Step 6: Final answer
    x = 433,315,325,796.36

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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.