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Finding the Third Proportional to 153,520,725.75 and 219,536,448.75

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Solution

The third proportional to 153,520,725.75 and 219,536,448.75 is: 313,939,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,520,725.75 : 219,536,448.75 = 219,536,448.75 : x
  2. Step 2: Convert to fraction form
    153,520,725.75/219,536,448.75 = 219,536,448.75/x
  3. Step 3: Cross multiply
    153,520,725.75x = 219,536,448.75 × 219,536,448.75
  4. Step 4: Simplify right side
    153,520,725.75x = 48,196,252,329,761,376
  5. Step 5: Solve for x
    x = 48,196,252,329,761,376/153,520,725.75
  6. Step 6: Final answer
    x = 313,939,711.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.