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Finding the Third Proportional to 289,146,106.69 and 440,498,697.19

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Solution

The third proportional to 289,146,106.69 and 440,498,697.19 is: 671,076,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,146,106.69 : 440,498,697.19 = 440,498,697.19 : x
  2. Step 2: Convert to fraction form
    289,146,106.69/440,498,697.19 = 440,498,697.19/x
  3. Step 3: Cross multiply
    289,146,106.69x = 440,498,697.19 × 440,498,697.19
  4. Step 4: Simplify right side
    289,146,106.69x = 194,039,102,223,884,832
  5. Step 5: Solve for x
    x = 194,039,102,223,884,832/289,146,106.69
  6. Step 6: Final answer
    x = 671,076,309.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.