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Finding the Third Proportional to 76,141,914 and 115,997,391

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Solution

The third proportional to 76,141,914 and 115,997,391 is: 176,714,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141,914 : 115,997,391 = 115,997,391 : x
  2. Step 2: Convert to fraction form
    76,141,914/115,997,391 = 115,997,391/x
  3. Step 3: Cross multiply
    76,141,914x = 115,997,391 × 115,997,391
  4. Step 4: Simplify right side
    76,141,914x = 13,455,394,718,806,880
  5. Step 5: Solve for x
    x = 13,455,394,718,806,880/76,141,914
  6. Step 6: Final answer
    x = 176,714,689.87

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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.