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Finding the Third Proportional to 85,212,348,264 and 185,256,788,424

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Solution

The third proportional to 85,212,348,264 and 185,256,788,424 is: 402,759,439,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212,348,264 : 185,256,788,424 = 185,256,788,424 : x
  2. Step 2: Convert to fraction form
    85,212,348,264/185,256,788,424 = 185,256,788,424/x
  3. Step 3: Cross multiply
    85,212,348,264x = 185,256,788,424 × 185,256,788,424
  4. Step 4: Simplify right side
    85,212,348,264x = 34,320,077,657,174,699,933,696
  5. Step 5: Solve for x
    x = 34,320,077,657,174,699,933,696/85,212,348,264
  6. Step 6: Final answer
    x = 402,759,439,874.21

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