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Finding the Third Proportional to 252,176,436 and 547,397,284.50

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Solution

The third proportional to 252,176,436 and 547,397,284.50 is: 1,188,230,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,176,436 : 547,397,284.50 = 547,397,284.50 : x
  2. Step 2: Convert to fraction form
    252,176,436/547,397,284.50 = 547,397,284.50/x
  3. Step 3: Cross multiply
    252,176,436x = 547,397,284.50 × 547,397,284.50
  4. Step 4: Simplify right side
    252,176,436x = 299,643,787,077,973,952
  5. Step 5: Solve for x
    x = 299,643,787,077,973,952/252,176,436
  6. Step 6: Final answer
    x = 1,188,230,715.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.