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Finding the Third Proportional to 230,936,790 and 502,527,768

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Solution

The third proportional to 230,936,790 and 502,527,768 is: 1,093,520,688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,936,790 : 502,527,768 = 502,527,768 : x
  2. Step 2: Convert to fraction form
    230,936,790/502,527,768 = 502,527,768/x
  3. Step 3: Cross multiply
    230,936,790x = 502,527,768 × 502,527,768
  4. Step 4: Simplify right side
    230,936,790x = 252,534,157,611,061,824
  5. Step 5: Solve for x
    x = 252,534,157,611,061,824/230,936,790
  6. Step 6: Final answer
    x = 1,093,520,688.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.