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Finding the Third Proportional to 108,282,160.50 and 233,822,625

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Solution

The third proportional to 108,282,160.50 and 233,822,625 is: 504,912,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,282,160.50 : 233,822,625 = 233,822,625 : x
  2. Step 2: Convert to fraction form
    108,282,160.50/233,822,625 = 233,822,625/x
  3. Step 3: Cross multiply
    108,282,160.50x = 233,822,625 × 233,822,625
  4. Step 4: Simplify right side
    108,282,160.50x = 54,673,019,961,890,624
  5. Step 5: Solve for x
    x = 54,673,019,961,890,624/108,282,160.50
  6. Step 6: Final answer
    x = 504,912,533.23

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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.