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Finding the Third Proportional to 194,063,814 and 420,871,131

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Solution

The third proportional to 194,063,814 and 420,871,131 is: 912,753,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,063,814 : 420,871,131 = 420,871,131 : x
  2. Step 2: Convert to fraction form
    194,063,814/420,871,131 = 420,871,131/x
  3. Step 3: Cross multiply
    194,063,814x = 420,871,131 × 420,871,131
  4. Step 4: Simplify right side
    194,063,814x = 177,132,508,909,219,168
  5. Step 5: Solve for x
    x = 177,132,508,909,219,168/194,063,814
  6. Step 6: Final answer
    x = 912,753,930.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.