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Finding the Third Proportional to 189,079,303.50 and 411,287,283

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Solution

The third proportional to 189,079,303.50 and 411,287,283 is: 894,636,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,079,303.50 : 411,287,283 = 411,287,283 : x
  2. Step 2: Convert to fraction form
    189,079,303.50/411,287,283 = 411,287,283/x
  3. Step 3: Cross multiply
    189,079,303.50x = 411,287,283 × 411,287,283
  4. Step 4: Simplify right side
    189,079,303.50x = 169,157,229,157,522,080
  5. Step 5: Solve for x
    x = 169,157,229,157,522,080/189,079,303.50
  6. Step 6: Final answer
    x = 894,636,409.31

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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.