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Finding the Third Proportional to 223,726,362 and 527,385,246

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Solution

The third proportional to 223,726,362 and 527,385,246 is: 1,243,193,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,726,362 : 527,385,246 = 527,385,246 : x
  2. Step 2: Convert to fraction form
    223,726,362/527,385,246 = 527,385,246/x
  3. Step 3: Cross multiply
    223,726,362x = 527,385,246 × 527,385,246
  4. Step 4: Simplify right side
    223,726,362x = 278,135,197,698,480,512
  5. Step 5: Solve for x
    x = 278,135,197,698,480,512/223,726,362
  6. Step 6: Final answer
    x = 1,243,193,672.90

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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.