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Finding the Third Proportional to 230,288,914.50 and 353,788,805.25

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Solution

The third proportional to 230,288,914.50 and 353,788,805.25 is: 543,519,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,288,914.50 : 353,788,805.25 = 353,788,805.25 : x
  2. Step 2: Convert to fraction form
    230,288,914.50/353,788,805.25 = 353,788,805.25/x
  3. Step 3: Cross multiply
    230,288,914.50x = 353,788,805.25 × 353,788,805.25
  4. Step 4: Simplify right side
    230,288,914.50x = 125,166,518,720,222,432
  5. Step 5: Solve for x
    x = 125,166,518,720,222,432/230,288,914.50
  6. Step 6: Final answer
    x = 543,519,513.27

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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.