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Finding the Third Proportional to 269,552,189 and 385,196,316

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Solution

The third proportional to 269,552,189 and 385,196,316 is: 550,454,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,552,189 : 385,196,316 = 385,196,316 : x
  2. Step 2: Convert to fraction form
    269,552,189/385,196,316 = 385,196,316/x
  3. Step 3: Cross multiply
    269,552,189x = 385,196,316 × 385,196,316
  4. Step 4: Simplify right side
    269,552,189x = 148,376,201,859,971,840
  5. Step 5: Solve for x
    x = 148,376,201,859,971,840/269,552,189
  6. Step 6: Final answer
    x = 550,454,449.69

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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.