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Finding the Third Proportional to 185,205,192 and 272,265,924

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Solution

The third proportional to 185,205,192 and 272,265,924 is: 400,251,918.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,205,192 : 272,265,924 = 272,265,924 : x
  2. Step 2: Convert to fraction form
    185,205,192/272,265,924 = 272,265,924/x
  3. Step 3: Cross multiply
    185,205,192x = 272,265,924 × 272,265,924
  4. Step 4: Simplify right side
    185,205,192x = 74,128,733,371,573,776
  5. Step 5: Solve for x
    x = 74,128,733,371,573,776/185,205,192
  6. Step 6: Final answer
    x = 400,251,918.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.