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Finding the Third Proportional to 221,824,953 and 344,834,226

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Solution

The third proportional to 221,824,953 and 344,834,226 is: 536,056,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824,953 : 344,834,226 = 344,834,226 : x
  2. Step 2: Convert to fraction form
    221,824,953/344,834,226 = 344,834,226/x
  3. Step 3: Cross multiply
    221,824,953x = 344,834,226 × 344,834,226
  4. Step 4: Simplify right side
    221,824,953x = 118,910,643,421,019,072
  5. Step 5: Solve for x
    x = 118,910,643,421,019,072/221,824,953
  6. Step 6: Final answer
    x = 536,056,209.24

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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.