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Finding the Third Proportional to 223,726,334 and 527,385,226

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Solution

The third proportional to 223,726,334 and 527,385,226 is: 1,243,193,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,726,334 : 527,385,226 = 527,385,226 : x
  2. Step 2: Convert to fraction form
    223,726,334/527,385,226 = 527,385,226/x
  3. Step 3: Cross multiply
    223,726,334x = 527,385,226 × 527,385,226
  4. Step 4: Simplify right side
    223,726,334x = 278,135,176,603,071,072
  5. Step 5: Solve for x
    x = 278,135,176,603,071,072/223,726,334
  6. Step 6: Final answer
    x = 1,243,193,734.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.