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Finding the Third Proportional to 223,115,476 and 485,740,322

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Solution

The third proportional to 223,115,476 and 485,740,322 is: 1,057,495,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,115,476 : 485,740,322 = 485,740,322 : x
  2. Step 2: Convert to fraction form
    223,115,476/485,740,322 = 485,740,322/x
  3. Step 3: Cross multiply
    223,115,476x = 485,740,322 × 485,740,322
  4. Step 4: Simplify right side
    223,115,476x = 235,943,660,416,663,680
  5. Step 5: Solve for x
    x = 235,943,660,416,663,680/223,115,476
  6. Step 6: Final answer
    x = 1,057,495,717.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.