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Finding the Third Proportional to 86,820,087 and 180,785,098.50

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Solution

The third proportional to 86,820,087 and 180,785,098.50 is: 376,448,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,820,087 : 180,785,098.50 = 180,785,098.50 : x
  2. Step 2: Convert to fraction form
    86,820,087/180,785,098.50 = 180,785,098.50/x
  3. Step 3: Cross multiply
    86,820,087x = 180,785,098.50 × 180,785,098.50
  4. Step 4: Simplify right side
    86,820,087x = 32,683,251,839,654,704
  5. Step 5: Solve for x
    x = 32,683,251,839,654,704/86,820,087
  6. Step 6: Final answer
    x = 376,448,042.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.