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Finding the Third Proportional to 230,986,572.75 and 481,080,417.75

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Solution

The third proportional to 230,986,572.75 and 481,080,417.75 is: 1,001,955,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,986,572.75 : 481,080,417.75 = 481,080,417.75 : x
  2. Step 2: Convert to fraction form
    230,986,572.75/481,080,417.75 = 481,080,417.75/x
  3. Step 3: Cross multiply
    230,986,572.75x = 481,080,417.75 × 481,080,417.75
  4. Step 4: Simplify right side
    230,986,572.75x = 231,438,368,342,514,528
  5. Step 5: Solve for x
    x = 231,438,368,342,514,528/230,986,572.75
  6. Step 6: Final answer
    x = 1,001,955,938.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.