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Finding the Third Proportional to 106,026,172 and 164,078,124

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Solution

The third proportional to 106,026,172 and 164,078,124 is: 253,914,955.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,026,172 : 164,078,124 = 164,078,124 : x
  2. Step 2: Convert to fraction form
    106,026,172/164,078,124 = 164,078,124/x
  3. Step 3: Cross multiply
    106,026,172x = 164,078,124 × 164,078,124
  4. Step 4: Simplify right side
    106,026,172x = 26,921,630,775,359,376
  5. Step 5: Solve for x
    x = 26,921,630,775,359,376/106,026,172
  6. Step 6: Final answer
    x = 253,914,955.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.