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Finding the Third Proportional to 269,551,567.13 and 385,195,473

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Solution

The third proportional to 269,551,567.13 and 385,195,473 is: 550,453,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,551,567.13 : 385,195,473 = 385,195,473 : x
  2. Step 2: Convert to fraction form
    269,551,567.13/385,195,473 = 385,195,473/x
  3. Step 3: Cross multiply
    269,551,567.13x = 385,195,473 × 385,195,473
  4. Step 4: Simplify right side
    269,551,567.13x = 148,375,552,419,693,728
  5. Step 5: Solve for x
    x = 148,375,552,419,693,728/269,551,567.13
  6. Step 6: Final answer
    x = 550,453,310.30

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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.