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Finding the Third Proportional to 209,689,604 and 328,224,196

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Solution

The third proportional to 209,689,604 and 328,224,196 is: 513,764,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,689,604 : 328,224,196 = 328,224,196 : x
  2. Step 2: Convert to fraction form
    209,689,604/328,224,196 = 328,224,196/x
  3. Step 3: Cross multiply
    209,689,604x = 328,224,196 × 328,224,196
  4. Step 4: Simplify right side
    209,689,604x = 107,731,122,839,846,416
  5. Step 5: Solve for x
    x = 107,731,122,839,846,416/209,689,604
  6. Step 6: Final answer
    x = 513,764,730.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.