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Finding the Third Proportional to 108,157,935 and 164,961,096

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Solution

The third proportional to 108,157,935 and 164,961,096 is: 251,596,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,157,935 : 164,961,096 = 164,961,096 : x
  2. Step 2: Convert to fraction form
    108,157,935/164,961,096 = 164,961,096/x
  3. Step 3: Cross multiply
    108,157,935x = 164,961,096 × 164,961,096
  4. Step 4: Simplify right side
    108,157,935x = 27,212,163,193,521,216
  5. Step 5: Solve for x
    x = 27,212,163,193,521,216/108,157,935
  6. Step 6: Final answer
    x = 251,596,549.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.