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Finding the Third Proportional to 182,781,216 and 395,657,280

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Solution

The third proportional to 182,781,216 and 395,657,280 is: 856,459,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,781,216 : 395,657,280 = 395,657,280 : x
  2. Step 2: Convert to fraction form
    182,781,216/395,657,280 = 395,657,280/x
  3. Step 3: Cross multiply
    182,781,216x = 395,657,280 × 395,657,280
  4. Step 4: Simplify right side
    182,781,216x = 156,544,683,216,998,400
  5. Step 5: Solve for x
    x = 156,544,683,216,998,400/182,781,216
  6. Step 6: Final answer
    x = 856,459,359.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.