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Finding the Third Proportional to 76,095,735 and 166,734,966

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Solution

The third proportional to 76,095,735 and 166,734,966 is: 365,336,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,095,735 : 166,734,966 = 166,734,966 : x
  2. Step 2: Convert to fraction form
    76,095,735/166,734,966 = 166,734,966/x
  3. Step 3: Cross multiply
    76,095,735x = 166,734,966 × 166,734,966
  4. Step 4: Simplify right side
    76,095,735x = 27,800,548,887,021,156
  5. Step 5: Solve for x
    x = 27,800,548,887,021,156/76,095,735
  6. Step 6: Final answer
    x = 365,336,492.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.