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Finding the Third Proportional to 123,350,904,828 and 166,429,333,473

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Solution

The third proportional to 123,350,904,828 and 166,429,333,473 is: 224,552,248,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,350,904,828 : 166,429,333,473 = 166,429,333,473 : x
  2. Step 2: Convert to fraction form
    123,350,904,828/166,429,333,473 = 166,429,333,473/x
  3. Step 3: Cross multiply
    123,350,904,828x = 166,429,333,473 × 166,429,333,473
  4. Step 4: Simplify right side
    123,350,904,828x = 27,698,723,040,267,039,932,416
  5. Step 5: Solve for x
    x = 27,698,723,040,267,039,932,416/123,350,904,828
  6. Step 6: Final answer
    x = 224,552,248,553.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.