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Finding the Third Proportional to 210,816,183.94 and 314,984,246.91

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Solution

The third proportional to 210,816,183.94 and 314,984,246.91 is: 470,623,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816,183.94 : 314,984,246.91 = 314,984,246.91 : x
  2. Step 2: Convert to fraction form
    210,816,183.94/314,984,246.91 = 314,984,246.91/x
  3. Step 3: Cross multiply
    210,816,183.94x = 314,984,246.91 × 314,984,246.91
  4. Step 4: Simplify right side
    210,816,183.94x = 99,215,075,799,097,456
  5. Step 5: Solve for x
    x = 99,215,075,799,097,456/210,816,183.94
  6. Step 6: Final answer
    x = 470,623,620.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.