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Finding the Third Proportional to 116,229,036,828 and 166,207,720,596

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Solution

The third proportional to 116,229,036,828 and 166,207,720,596 is: 237,677,323,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,229,036,828 : 166,207,720,596 = 166,207,720,596 : x
  2. Step 2: Convert to fraction form
    116,229,036,828/166,207,720,596 = 166,207,720,596/x
  3. Step 3: Cross multiply
    116,229,036,828x = 166,207,720,596 × 166,207,720,596
  4. Step 4: Simplify right side
    116,229,036,828x = 27,625,006,385,718,003,499,008
  5. Step 5: Solve for x
    x = 27,625,006,385,718,003,499,008/116,229,036,828
  6. Step 6: Final answer
    x = 237,677,323,495.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.