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Finding the Third Proportional to 196,365,958.50 and 427,207,896.50

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Solution

The third proportional to 196,365,958.50 and 427,207,896.50 is: 929,420,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365,958.50 : 427,207,896.50 = 427,207,896.50 : x
  2. Step 2: Convert to fraction form
    196,365,958.50/427,207,896.50 = 427,207,896.50/x
  3. Step 3: Cross multiply
    196,365,958.50x = 427,207,896.50 × 427,207,896.50
  4. Step 4: Simplify right side
    196,365,958.50x = 182,506,586,831,954,720
  5. Step 5: Solve for x
    x = 182,506,586,831,954,720/196,365,958.50
  6. Step 6: Final answer
    x = 929,420,701.15

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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.