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Finding the Third Proportional to 116,229,036,834 and 166,207,720,605

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Solution

The third proportional to 116,229,036,834 and 166,207,720,605 is: 237,677,323,508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,229,036,834 : 166,207,720,605 = 166,207,720,605 : x
  2. Step 2: Convert to fraction form
    116,229,036,834/166,207,720,605 = 166,207,720,605/x
  3. Step 3: Cross multiply
    116,229,036,834x = 166,207,720,605 × 166,207,720,605
  4. Step 4: Simplify right side
    116,229,036,834x = 27,625,006,388,709,741,821,952
  5. Step 5: Solve for x
    x = 27,625,006,388,709,741,821,952/116,229,036,834
  6. Step 6: Final answer
    x = 237,677,323,508.79

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Why These Related Problems?

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