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Finding the Third Proportional to 221,824,960 and 344,834,237

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Solution

The third proportional to 221,824,960 and 344,834,237 is: 536,056,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824,960 : 344,834,237 = 344,834,237 : x
  2. Step 2: Convert to fraction form
    221,824,960/344,834,237 = 344,834,237/x
  3. Step 3: Cross multiply
    221,824,960x = 344,834,237 × 344,834,237
  4. Step 4: Simplify right side
    221,824,960x = 118,910,651,007,372,176
  5. Step 5: Solve for x
    x = 118,910,651,007,372,176/221,824,960
  6. Step 6: Final answer
    x = 536,056,226.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.