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Finding the Third Proportional to 336,543,133.50 and 516,971,458.50

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Solution

The third proportional to 336,543,133.50 and 516,971,458.50 is: 794,131,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,133.50 : 516,971,458.50 = 516,971,458.50 : x
  2. Step 2: Convert to fraction form
    336,543,133.50/516,971,458.50 = 516,971,458.50/x
  3. Step 3: Cross multiply
    336,543,133.50x = 516,971,458.50 × 516,971,458.50
  4. Step 4: Simplify right side
    336,543,133.50x = 267,259,488,903,617,216
  5. Step 5: Solve for x
    x = 267,259,488,903,617,216/336,543,133.50
  6. Step 6: Final answer
    x = 794,131,456.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.