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Finding the Third Proportional to 89,311,712 and 191,545,936

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Solution

The third proportional to 89,311,712 and 191,545,936 is: 410,806,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,311,712 : 191,545,936 = 191,545,936 : x
  2. Step 2: Convert to fraction form
    89,311,712/191,545,936 = 191,545,936/x
  3. Step 3: Cross multiply
    89,311,712x = 191,545,936 × 191,545,936
  4. Step 4: Simplify right side
    89,311,712x = 36,689,845,598,116,096
  5. Step 5: Solve for x
    x = 36,689,845,598,116,096/89,311,712
  6. Step 6: Final answer
    x = 410,806,654.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.