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Finding the Third Proportional to 269,048,696.34 and 384,740,093.95

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Solution

The third proportional to 269,048,696.34 and 384,740,093.95 is: 550,178,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,048,696.34 : 384,740,093.95 = 384,740,093.95 : x
  2. Step 2: Convert to fraction form
    269,048,696.34/384,740,093.95 = 384,740,093.95/x
  3. Step 3: Cross multiply
    269,048,696.34x = 384,740,093.95 × 384,740,093.95
  4. Step 4: Simplify right side
    269,048,696.34x = 148,024,939,895,055,584
  5. Step 5: Solve for x
    x = 148,024,939,895,055,584/269,048,696.34
  6. Step 6: Final answer
    x = 550,178,989.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.