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Finding the Third Proportional to 245,172,322 and 527,541,142

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Solution

The third proportional to 245,172,322 and 527,541,142 is: 1,135,118,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,172,322 : 527,541,142 = 527,541,142 : x
  2. Step 2: Convert to fraction form
    245,172,322/527,541,142 = 527,541,142/x
  3. Step 3: Cross multiply
    245,172,322x = 527,541,142 × 527,541,142
  4. Step 4: Simplify right side
    245,172,322x = 278,299,656,502,664,160
  5. Step 5: Solve for x
    x = 278,299,656,502,664,160/245,172,322
  6. Step 6: Final answer
    x = 1,135,118,573.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.