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Finding the Third Proportional to 75,150,964 and 116,362,880

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Solution

The third proportional to 75,150,964 and 116,362,880 is: 180,174,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,150,964 : 116,362,880 = 116,362,880 : x
  2. Step 2: Convert to fraction form
    75,150,964/116,362,880 = 116,362,880/x
  3. Step 3: Cross multiply
    75,150,964x = 116,362,880 × 116,362,880
  4. Step 4: Simplify right side
    75,150,964x = 13,540,319,841,894,400
  5. Step 5: Solve for x
    x = 13,540,319,841,894,400/75,150,964
  6. Step 6: Final answer
    x = 180,174,932.18

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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.