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Finding the Third Proportional to 69,368,800 and 152,470,228

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Solution

The third proportional to 69,368,800 and 152,470,228 is: 335,124,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,368,800 : 152,470,228 = 152,470,228 : x
  2. Step 2: Convert to fraction form
    69,368,800/152,470,228 = 152,470,228/x
  3. Step 3: Cross multiply
    69,368,800x = 152,470,228 × 152,470,228
  4. Step 4: Simplify right side
    69,368,800x = 23,247,170,426,371,984
  5. Step 5: Solve for x
    x = 23,247,170,426,371,984/69,368,800
  6. Step 6: Final answer
    x = 335,124,298.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.