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Finding the Third Proportional to 99,914,014,852.50 and 218,137,047,724.50

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Solution

The third proportional to 99,914,014,852.50 and 218,137,047,724.50 is: 476,247,217,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,914,014,852.50 : 218,137,047,724.50 = 218,137,047,724.50 : x
  2. Step 2: Convert to fraction form
    99,914,014,852.50/218,137,047,724.50 = 218,137,047,724.50/x
  3. Step 3: Cross multiply
    99,914,014,852.50x = 218,137,047,724.50 × 218,137,047,724.50
  4. Step 4: Simplify right side
    99,914,014,852.50x = 47,583,771,589,960,794,112,000
  5. Step 5: Solve for x
    x = 47,583,771,589,960,794,112,000/99,914,014,852.50
  6. Step 6: Final answer
    x = 476,247,217,772.27

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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.