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Finding the Third Proportional to 77,926,242 and 169,416,354

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Solution

The third proportional to 77,926,242 and 169,416,354 is: 368,321,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,926,242 : 169,416,354 = 169,416,354 : x
  2. Step 2: Convert to fraction form
    77,926,242/169,416,354 = 169,416,354/x
  3. Step 3: Cross multiply
    77,926,242x = 169,416,354 × 169,416,354
  4. Step 4: Simplify right side
    77,926,242x = 28,701,901,002,653,316
  5. Step 5: Solve for x
    x = 28,701,901,002,653,316/77,926,242
  6. Step 6: Final answer
    x = 368,321,380.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.