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Finding the Third Proportional to 271,674,148.50 and 423,653,712.75

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Solution

The third proportional to 271,674,148.50 and 423,653,712.75 is: 660,653,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674,148.50 : 423,653,712.75 = 423,653,712.75 : x
  2. Step 2: Convert to fraction form
    271,674,148.50/423,653,712.75 = 423,653,712.75/x
  3. Step 3: Cross multiply
    271,674,148.50x = 423,653,712.75 × 423,653,712.75
  4. Step 4: Simplify right side
    271,674,148.50x = 179,482,468,326,859,520
  5. Step 5: Solve for x
    x = 179,482,468,326,859,520/271,674,148.50
  6. Step 6: Final answer
    x = 660,653,467.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.