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Finding the Third Proportional to 205,349,184 and 308,063,520

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Solution

The third proportional to 205,349,184 and 308,063,520 is: 462,154,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,349,184 : 308,063,520 = 308,063,520 : x
  2. Step 2: Convert to fraction form
    205,349,184/308,063,520 = 308,063,520/x
  3. Step 3: Cross multiply
    205,349,184x = 308,063,520 × 308,063,520
  4. Step 4: Simplify right side
    205,349,184x = 94,903,132,354,790,400
  5. Step 5: Solve for x
    x = 94,903,132,354,790,400/205,349,184
  6. Step 6: Final answer
    x = 462,154,903.69

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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.