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Finding the Third Proportional to 191,900,703 and 414,441,685.50

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Solution

The third proportional to 191,900,703 and 414,441,685.50 is: 895,056,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,900,703 : 414,441,685.50 = 414,441,685.50 : x
  2. Step 2: Convert to fraction form
    191,900,703/414,441,685.50 = 414,441,685.50/x
  3. Step 3: Cross multiply
    191,900,703x = 414,441,685.50 × 414,441,685.50
  4. Step 4: Simplify right side
    191,900,703x = 171,761,910,680,080,896
  5. Step 5: Solve for x
    x = 171,761,910,680,080,896/191,900,703
  6. Step 6: Final answer
    x = 895,056,182.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.