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Finding the Third Proportional to 240,842,257.50 and 382,796,581.50

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Solution

The third proportional to 240,842,257.50 and 382,796,581.50 is: 608,419,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,842,257.50 : 382,796,581.50 = 382,796,581.50 : x
  2. Step 2: Convert to fraction form
    240,842,257.50/382,796,581.50 = 382,796,581.50/x
  3. Step 3: Cross multiply
    240,842,257.50x = 382,796,581.50 × 382,796,581.50
  4. Step 4: Simplify right side
    240,842,257.50x = 146,533,222,808,086,144
  5. Step 5: Solve for x
    x = 146,533,222,808,086,144/240,842,257.50
  6. Step 6: Final answer
    x = 608,419,902.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.