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Finding the Third Proportional to 205,349,186 and 308,063,523

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Solution

The third proportional to 205,349,186 and 308,063,523 is: 462,154,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,349,186 : 308,063,523 = 308,063,523 : x
  2. Step 2: Convert to fraction form
    205,349,186/308,063,523 = 308,063,523/x
  3. Step 3: Cross multiply
    205,349,186x = 308,063,523 × 308,063,523
  4. Step 4: Simplify right side
    205,349,186x = 94,903,134,203,171,536
  5. Step 5: Solve for x
    x = 94,903,134,203,171,536/205,349,186
  6. Step 6: Final answer
    x = 462,154,908.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.