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Finding the Third Proportional to 123,350,904,826 and 166,429,333,470

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Solution

The third proportional to 123,350,904,826 and 166,429,333,470 is: 224,552,248,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,350,904,826 : 166,429,333,470 = 166,429,333,470 : x
  2. Step 2: Convert to fraction form
    123,350,904,826/166,429,333,470 = 166,429,333,470/x
  3. Step 3: Cross multiply
    123,350,904,826x = 166,429,333,470 × 166,429,333,470
  4. Step 4: Simplify right side
    123,350,904,826x = 27,698,723,039,268,464,230,400
  5. Step 5: Solve for x
    x = 27,698,723,039,268,464,230,400/123,350,904,826
  6. Step 6: Final answer
    x = 224,552,248,549.30

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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.