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Finding the Third Proportional to 207,867,896 and 446,441,200

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Solution

The third proportional to 207,867,896 and 446,441,200 is: 958,828,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,867,896 : 446,441,200 = 446,441,200 : x
  2. Step 2: Convert to fraction form
    207,867,896/446,441,200 = 446,441,200/x
  3. Step 3: Cross multiply
    207,867,896x = 446,441,200 × 446,441,200
  4. Step 4: Simplify right side
    207,867,896x = 199,309,745,057,440,000
  5. Step 5: Solve for x
    x = 199,309,745,057,440,000/207,867,896
  6. Step 6: Final answer
    x = 958,828,895.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.