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Finding the Third Proportional to 142,107,895.50 and 311,003,201

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Solution

The third proportional to 142,107,895.50 and 311,003,201 is: 680,630,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,107,895.50 : 311,003,201 = 311,003,201 : x
  2. Step 2: Convert to fraction form
    142,107,895.50/311,003,201 = 311,003,201/x
  3. Step 3: Cross multiply
    142,107,895.50x = 311,003,201 × 311,003,201
  4. Step 4: Simplify right side
    142,107,895.50x = 96,722,991,032,246,400
  5. Step 5: Solve for x
    x = 96,722,991,032,246,400/142,107,895.50
  6. Step 6: Final answer
    x = 680,630,662.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.