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Finding the Third Proportional to 238,103,315 and 512,695,449

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Solution

The third proportional to 238,103,315 and 512,695,449 is: 1,103,960,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,103,315 : 512,695,449 = 512,695,449 : x
  2. Step 2: Convert to fraction form
    238,103,315/512,695,449 = 512,695,449/x
  3. Step 3: Cross multiply
    238,103,315x = 512,695,449 × 512,695,449
  4. Step 4: Simplify right side
    238,103,315x = 262,856,623,425,311,616
  5. Step 5: Solve for x
    x = 262,856,623,425,311,616/238,103,315
  6. Step 6: Final answer
    x = 1,103,960,368.74

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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.