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Finding the Third Proportional to 230,240,114 and 354,252,878

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Solution

The third proportional to 230,240,114 and 354,252,878 is: 545,061,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,240,114 : 354,252,878 = 354,252,878 : x
  2. Step 2: Convert to fraction form
    230,240,114/354,252,878 = 354,252,878/x
  3. Step 3: Cross multiply
    230,240,114x = 354,252,878 × 354,252,878
  4. Step 4: Simplify right side
    230,240,114x = 125,495,101,571,282,880
  5. Step 5: Solve for x
    x = 125,495,101,571,282,880/230,240,114
  6. Step 6: Final answer
    x = 545,061,846.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.