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Finding the Third Proportional to 191,900,724.75 and 414,441,724.50

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Solution

The third proportional to 191,900,724.75 and 414,441,724.50 is: 895,056,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,900,724.75 : 414,441,724.50 = 414,441,724.50 : x
  2. Step 2: Convert to fraction form
    191,900,724.75/414,441,724.50 = 414,441,724.50/x
  3. Step 3: Cross multiply
    191,900,724.75x = 414,441,724.50 × 414,441,724.50
  4. Step 4: Simplify right side
    191,900,724.75x = 171,761,943,006,533,888
  5. Step 5: Solve for x
    x = 171,761,943,006,533,888/191,900,724.75
  6. Step 6: Final answer
    x = 895,056,249.68

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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.