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Finding the Third Proportional to 169,047,195.75 and 254,901,115.69

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Solution

The third proportional to 169,047,195.75 and 254,901,115.69 is: 384,357,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,047,195.75 : 254,901,115.69 = 254,901,115.69 : x
  2. Step 2: Convert to fraction form
    169,047,195.75/254,901,115.69 = 254,901,115.69/x
  3. Step 3: Cross multiply
    169,047,195.75x = 254,901,115.69 × 254,901,115.69
  4. Step 4: Simplify right side
    169,047,195.75x = 64,974,578,778,732,256
  5. Step 5: Solve for x
    x = 64,974,578,778,732,256/169,047,195.75
  6. Step 6: Final answer
    x = 384,357,625.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.