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Finding the Third Proportional to 102,674,596 and 154,031,765

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Solution

The third proportional to 102,674,596 and 154,031,765 is: 231,077,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,674,596 : 154,031,765 = 154,031,765 : x
  2. Step 2: Convert to fraction form
    102,674,596/154,031,765 = 154,031,765/x
  3. Step 3: Cross multiply
    102,674,596x = 154,031,765 × 154,031,765
  4. Step 4: Simplify right side
    102,674,596x = 23,725,784,629,015,224
  5. Step 5: Solve for x
    x = 23,725,784,629,015,224/102,674,596
  6. Step 6: Final answer
    x = 231,077,457.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.