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Finding the Third Proportional to 189,080,700 and 411,290,064

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Solution

The third proportional to 189,080,700 and 411,290,064 is: 894,641,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080,700 : 411,290,064 = 411,290,064 : x
  2. Step 2: Convert to fraction form
    189,080,700/411,290,064 = 411,290,064/x
  3. Step 3: Cross multiply
    189,080,700x = 411,290,064 × 411,290,064
  4. Step 4: Simplify right side
    189,080,700x = 169,159,516,745,124,096
  5. Step 5: Solve for x
    x = 169,159,516,745,124,096/189,080,700
  6. Step 6: Final answer
    x = 894,641,900.23

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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.