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Finding the Third Proportional to 152,836,446 and 335,698,224

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Solution

The third proportional to 152,836,446 and 335,698,224 is: 737,345,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,836,446 : 335,698,224 = 335,698,224 : x
  2. Step 2: Convert to fraction form
    152,836,446/335,698,224 = 335,698,224/x
  3. Step 3: Cross multiply
    152,836,446x = 335,698,224 × 335,698,224
  4. Step 4: Simplify right side
    152,836,446x = 112,693,297,596,754,176
  5. Step 5: Solve for x
    x = 112,693,297,596,754,176/152,836,446
  6. Step 6: Final answer
    x = 737,345,708.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.