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Finding the Third Proportional to 76,118,898 and 115,962,832

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Solution

The third proportional to 76,118,898 and 115,962,832 is: 176,662,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,118,898 : 115,962,832 = 115,962,832 : x
  2. Step 2: Convert to fraction form
    76,118,898/115,962,832 = 115,962,832/x
  3. Step 3: Cross multiply
    76,118,898x = 115,962,832 × 115,962,832
  4. Step 4: Simplify right side
    76,118,898x = 13,447,378,405,460,224
  5. Step 5: Solve for x
    x = 13,447,378,405,460,224/76,118,898
  6. Step 6: Final answer
    x = 176,662,809.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.