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Finding the Third Proportional to 230,382,803 and 507,724,959

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Solution

The third proportional to 230,382,803 and 507,724,959 is: 1,118,940,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382,803 : 507,724,959 = 507,724,959 : x
  2. Step 2: Convert to fraction form
    230,382,803/507,724,959 = 507,724,959/x
  3. Step 3: Cross multiply
    230,382,803x = 507,724,959 × 507,724,959
  4. Step 4: Simplify right side
    230,382,803x = 257,784,633,991,551,680
  5. Step 5: Solve for x
    x = 257,784,633,991,551,680/230,382,803
  6. Step 6: Final answer
    x = 1,118,940,435.81

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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.