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Finding the Third Proportional to 212,966,058.50 and 318,597,759.50

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Solution

The third proportional to 212,966,058.50 and 318,597,759.50 is: 476,623,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,966,058.50 : 318,597,759.50 = 318,597,759.50 : x
  2. Step 2: Convert to fraction form
    212,966,058.50/318,597,759.50 = 318,597,759.50/x
  3. Step 3: Cross multiply
    212,966,058.50x = 318,597,759.50 × 318,597,759.50
  4. Step 4: Simplify right side
    212,966,058.50x = 101,504,532,358,419,840
  5. Step 5: Solve for x
    x = 101,504,532,358,419,840/212,966,058.50
  6. Step 6: Final answer
    x = 476,623,050.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.