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Finding the Third Proportional to 129,215,313.75 and 283,537,114.13

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Solution

The third proportional to 129,215,313.75 and 283,537,114.13 is: 622,165,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,215,313.75 : 283,537,114.13 = 283,537,114.13 : x
  2. Step 2: Convert to fraction form
    129,215,313.75/283,537,114.13 = 283,537,114.13/x
  3. Step 3: Cross multiply
    129,215,313.75x = 283,537,114.13 × 283,537,114.13
  4. Step 4: Simplify right side
    129,215,313.75x = 80,393,295,086,333,280
  5. Step 5: Solve for x
    x = 80,393,295,086,333,280/129,215,313.75
  6. Step 6: Final answer
    x = 622,165,382.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.