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Finding the Third Proportional to 141,046,555.50 and 213,703,008.75

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Solution

The third proportional to 141,046,555.50 and 213,703,008.75 is: 323,786,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,046,555.50 : 213,703,008.75 = 213,703,008.75 : x
  2. Step 2: Convert to fraction form
    141,046,555.50/213,703,008.75 = 213,703,008.75/x
  3. Step 3: Cross multiply
    141,046,555.50x = 213,703,008.75 × 213,703,008.75
  4. Step 4: Simplify right side
    141,046,555.50x = 45,668,975,948,802,576
  5. Step 5: Solve for x
    x = 45,668,975,948,802,576/141,046,555.50
  6. Step 6: Final answer
    x = 323,786,538.33

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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.