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Finding the Third Proportional to 81,598,026 and 177,551,892

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Solution

The third proportional to 81,598,026 and 177,551,892 is: 386,341,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,598,026 : 177,551,892 = 177,551,892 : x
  2. Step 2: Convert to fraction form
    81,598,026/177,551,892 = 177,551,892/x
  3. Step 3: Cross multiply
    81,598,026x = 177,551,892 × 177,551,892
  4. Step 4: Simplify right side
    81,598,026x = 31,524,674,352,779,664
  5. Step 5: Solve for x
    x = 31,524,674,352,779,664/81,598,026
  6. Step 6: Final answer
    x = 386,341,139.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.