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Finding the Third Proportional to 77,926,235 and 169,416,339

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Solution

The third proportional to 77,926,235 and 169,416,339 is: 368,321,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,926,235 : 169,416,339 = 169,416,339 : x
  2. Step 2: Convert to fraction form
    77,926,235/169,416,339 = 169,416,339/x
  3. Step 3: Cross multiply
    77,926,235x = 169,416,339 × 169,416,339
  4. Step 4: Simplify right side
    77,926,235x = 28,701,895,920,162,920
  5. Step 5: Solve for x
    x = 28,701,895,920,162,920/77,926,235
  6. Step 6: Final answer
    x = 368,321,348.01

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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.