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Finding the Third Proportional to 196,260,352 and 428,168,782

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Solution

The third proportional to 196,260,352 and 428,168,782 is: 934,108,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,260,352 : 428,168,782 = 428,168,782 : x
  2. Step 2: Convert to fraction form
    196,260,352/428,168,782 = 428,168,782/x
  3. Step 3: Cross multiply
    196,260,352x = 428,168,782 × 428,168,782
  4. Step 4: Simplify right side
    196,260,352x = 183,328,505,879,363,520
  5. Step 5: Solve for x
    x = 183,328,505,879,363,520/196,260,352
  6. Step 6: Final answer
    x = 934,108,718.40

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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.