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Finding the Third Proportional to 169,047,210 and 254,901,138

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Solution

The third proportional to 169,047,210 and 254,901,138 is: 384,357,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,047,210 : 254,901,138 = 254,901,138 : x
  2. Step 2: Convert to fraction form
    169,047,210/254,901,138 = 254,901,138/x
  3. Step 3: Cross multiply
    169,047,210x = 254,901,138 × 254,901,138
  4. Step 4: Simplify right side
    169,047,210x = 64,974,590,153,695,040
  5. Step 5: Solve for x
    x = 64,974,590,153,695,040/169,047,210
  6. Step 6: Final answer
    x = 384,357,660.52

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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.