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Finding the Third Proportional to 97,192,768 and 214,196,516

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Solution

The third proportional to 97,192,768 and 214,196,516 is: 472,053,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192,768 : 214,196,516 = 214,196,516 : x
  2. Step 2: Convert to fraction form
    97,192,768/214,196,516 = 214,196,516/x
  3. Step 3: Cross multiply
    97,192,768x = 214,196,516 × 214,196,516
  4. Step 4: Simplify right side
    97,192,768x = 45,880,147,466,538,256
  5. Step 5: Solve for x
    x = 45,880,147,466,538,256/97,192,768
  6. Step 6: Final answer
    x = 472,053,100.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.