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Finding the Third Proportional to 129,520,324 and 211,472,642

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Solution

The third proportional to 129,520,324 and 211,472,642 is: 345,279,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,520,324 : 211,472,642 = 211,472,642 : x
  2. Step 2: Convert to fraction form
    129,520,324/211,472,642 = 211,472,642/x
  3. Step 3: Cross multiply
    129,520,324x = 211,472,642 × 211,472,642
  4. Step 4: Simplify right side
    129,520,324x = 44,720,678,314,460,160
  5. Step 5: Solve for x
    x = 44,720,678,314,460,160/129,520,324
  6. Step 6: Final answer
    x = 345,279,234.43

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.