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Finding the Third Proportional to 178,782,666 and 273,372,255

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Solution

The third proportional to 178,782,666 and 273,372,255 is: 418,006,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,782,666 : 273,372,255 = 273,372,255 : x
  2. Step 2: Convert to fraction form
    178,782,666/273,372,255 = 273,372,255/x
  3. Step 3: Cross multiply
    178,782,666x = 273,372,255 × 273,372,255
  4. Step 4: Simplify right side
    178,782,666x = 74,732,389,803,785,024
  5. Step 5: Solve for x
    x = 74,732,389,803,785,024/178,782,666
  6. Step 6: Final answer
    x = 418,006,910.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.