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Finding the Third Proportional to 194,434,184 and 422,249,926

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Solution

The third proportional to 194,434,184 and 422,249,926 is: 916,994,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434,184 : 422,249,926 = 422,249,926 : x
  2. Step 2: Convert to fraction form
    194,434,184/422,249,926 = 422,249,926/x
  3. Step 3: Cross multiply
    194,434,184x = 422,249,926 × 422,249,926
  4. Step 4: Simplify right side
    194,434,184x = 178,295,000,007,005,472
  5. Step 5: Solve for x
    x = 178,295,000,007,005,472/194,434,184
  6. Step 6: Final answer
    x = 916,994,102.27

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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.