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Finding the Third Proportional to 89,850,714 and 128,398,743

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Solution

The third proportional to 89,850,714 and 128,398,743 is: 183,484,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,850,714 : 128,398,743 = 128,398,743 : x
  2. Step 2: Convert to fraction form
    89,850,714/128,398,743 = 128,398,743/x
  3. Step 3: Cross multiply
    89,850,714x = 128,398,743 × 128,398,743
  4. Step 4: Simplify right side
    89,850,714x = 16,486,237,203,980,048
  5. Step 5: Solve for x
    x = 16,486,237,203,980,048/89,850,714
  6. Step 6: Final answer
    x = 183,484,765.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.