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Finding the Third Proportional to 196,365,624 and 427,207,616

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Solution

The third proportional to 196,365,624 and 427,207,616 is: 929,421,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365,624 : 427,207,616 = 427,207,616 : x
  2. Step 2: Convert to fraction form
    196,365,624/427,207,616 = 427,207,616/x
  3. Step 3: Cross multiply
    196,365,624x = 427,207,616 × 427,207,616
  4. Step 4: Simplify right side
    196,365,624x = 182,506,347,168,403,456
  5. Step 5: Solve for x
    x = 182,506,347,168,403,456/196,365,624
  6. Step 6: Final answer
    x = 929,421,063.88

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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.