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Finding the Third Proportional to 230,382,810.75 and 507,724,976.75

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Solution

The third proportional to 230,382,810.75 and 507,724,976.75 is: 1,118,940,476.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,382,810.75 : 507,724,976.75 = 507,724,976.75 : x
  2. Step 2: Convert to fraction form
    230,382,810.75/507,724,976.75 = 507,724,976.75/x
  3. Step 3: Cross multiply
    230,382,810.75x = 507,724,976.75 × 507,724,976.75
  4. Step 4: Simplify right side
    230,382,810.75x = 257,784,652,015,788,032
  5. Step 5: Solve for x
    x = 257,784,652,015,788,032/230,382,810.75
  6. Step 6: Final answer
    x = 1,118,940,476.40

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Why These Related Problems?

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