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Finding the Third Proportional to 240,919,761.50 and 325,057,322

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Solution

The third proportional to 240,919,761.50 and 325,057,322 is: 438,578,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,919,761.50 : 325,057,322 = 325,057,322 : x
  2. Step 2: Convert to fraction form
    240,919,761.50/325,057,322 = 325,057,322/x
  3. Step 3: Cross multiply
    240,919,761.50x = 325,057,322 × 325,057,322
  4. Step 4: Simplify right side
    240,919,761.50x = 105,662,262,585,811,680
  5. Step 5: Solve for x
    x = 105,662,262,585,811,680/240,919,761.50
  6. Step 6: Final answer
    x = 438,578,645.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.