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Finding the Third Proportional to 196,181,342 and 420,529,465

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Solution

The third proportional to 196,181,342 and 420,529,465 is: 901,436,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,181,342 : 420,529,465 = 420,529,465 : x
  2. Step 2: Convert to fraction form
    196,181,342/420,529,465 = 420,529,465/x
  3. Step 3: Cross multiply
    196,181,342x = 420,529,465 × 420,529,465
  4. Step 4: Simplify right side
    196,181,342x = 176,845,030,933,186,240
  5. Step 5: Solve for x
    x = 176,845,030,933,186,240/196,181,342
  6. Step 6: Final answer
    x = 901,436,544.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.