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Finding the Third Proportional to 336,543,148 and 516,971,482

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Solution

The third proportional to 336,543,148 and 516,971,482 is: 794,131,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,543,148 : 516,971,482 = 516,971,482 : x
  2. Step 2: Convert to fraction form
    336,543,148/516,971,482 = 516,971,482/x
  3. Step 3: Cross multiply
    336,543,148x = 516,971,482 × 516,971,482
  4. Step 4: Simplify right side
    336,543,148x = 267,259,513,201,276,320
  5. Step 5: Solve for x
    x = 267,259,513,201,276,320/336,543,148
  6. Step 6: Final answer
    x = 794,131,494.85

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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.