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Finding the Third Proportional to 241,484,153.50 and 521,205,923

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Solution

The third proportional to 241,484,153.50 and 521,205,923 is: 1,124,941,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,484,153.50 : 521,205,923 = 521,205,923 : x
  2. Step 2: Convert to fraction form
    241,484,153.50/521,205,923 = 521,205,923/x
  3. Step 3: Cross multiply
    241,484,153.50x = 521,205,923 × 521,205,923
  4. Step 4: Simplify right side
    241,484,153.50x = 271,655,614,170,281,920
  5. Step 5: Solve for x
    x = 271,655,614,170,281,920/241,484,153.50
  6. Step 6: Final answer
    x = 1,124,941,782.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.