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Finding the Third Proportional to 189,080,740 and 411,290,156

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Solution

The third proportional to 189,080,740 and 411,290,156 is: 894,642,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080,740 : 411,290,156 = 411,290,156 : x
  2. Step 2: Convert to fraction form
    189,080,740/411,290,156 = 411,290,156/x
  3. Step 3: Cross multiply
    189,080,740x = 411,290,156 × 411,290,156
  4. Step 4: Simplify right side
    189,080,740x = 169,159,592,422,504,320
  5. Step 5: Solve for x
    x = 169,159,592,422,504,320/189,080,740
  6. Step 6: Final answer
    x = 894,642,111.21

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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.