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Finding the Third Proportional to 237,170,184 and 513,928,416

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Solution

The third proportional to 237,170,184 and 513,928,416 is: 1,113,640,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,170,184 : 513,928,416 = 513,928,416 : x
  2. Step 2: Convert to fraction form
    237,170,184/513,928,416 = 513,928,416/x
  3. Step 3: Cross multiply
    237,170,184x = 513,928,416 × 513,928,416
  4. Step 4: Simplify right side
    237,170,184x = 264,122,416,772,269,056
  5. Step 5: Solve for x
    x = 264,122,416,772,269,056/237,170,184
  6. Step 6: Final answer
    x = 1,113,640,898.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.