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Finding the Third Proportional to 201,597,984 and 439,840,485

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Solution

The third proportional to 201,597,984 and 439,840,485 is: 959,630,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,597,984 : 439,840,485 = 439,840,485 : x
  2. Step 2: Convert to fraction form
    201,597,984/439,840,485 = 439,840,485/x
  3. Step 3: Cross multiply
    201,597,984x = 439,840,485 × 439,840,485
  4. Step 4: Simplify right side
    201,597,984x = 193,459,652,245,035,232
  5. Step 5: Solve for x
    x = 193,459,652,245,035,232/201,597,984
  6. Step 6: Final answer
    x = 959,630,887.21

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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.