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Finding the Third Proportional to 227,752,390,239.75 and 489,780,732,082.50

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Solution

The third proportional to 227,752,390,239.75 and 489,780,732,082.50 is: 1,053,271,780,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752,390,239.75 : 489,780,732,082.50 = 489,780,732,082.50 : x
  2. Step 2: Convert to fraction form
    227,752,390,239.75/489,780,732,082.50 = 489,780,732,082.50/x
  3. Step 3: Cross multiply
    227,752,390,239.75x = 489,780,732,082.50 × 489,780,732,082.50
  4. Step 4: Simplify right side
    227,752,390,239.75x = 239,885,165,519,269,632,409,600
  5. Step 5: Solve for x
    x = 239,885,165,519,269,632,409,600/227,752,390,239.75
  6. Step 6: Final answer
    x = 1,053,271,780,229.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.