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Finding the Third Proportional to 183,829,824 and 398,295,864

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Solution

The third proportional to 183,829,824 and 398,295,864 is: 862,969,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,829,824 : 398,295,864 = 398,295,864 : x
  2. Step 2: Convert to fraction form
    183,829,824/398,295,864 = 398,295,864/x
  3. Step 3: Cross multiply
    183,829,824x = 398,295,864 × 398,295,864
  4. Step 4: Simplify right side
    183,829,824x = 158,639,595,279,506,496
  5. Step 5: Solve for x
    x = 158,639,595,279,506,496/183,829,824
  6. Step 6: Final answer
    x = 862,969,848.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.