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Finding the Third Proportional to 83,178,340 and 185,482,064

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Solution

The third proportional to 83,178,340 and 185,482,064 is: 413,612,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,340 : 185,482,064 = 185,482,064 : x
  2. Step 2: Convert to fraction form
    83,178,340/185,482,064 = 185,482,064/x
  3. Step 3: Cross multiply
    83,178,340x = 185,482,064 × 185,482,064
  4. Step 4: Simplify right side
    83,178,340x = 34,403,596,065,700,096
  5. Step 5: Solve for x
    x = 34,403,596,065,700,096/83,178,340
  6. Step 6: Final answer
    x = 413,612,438.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.