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Finding the Third Proportional to 85,056,096 and 185,506,768

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Solution

The third proportional to 85,056,096 and 185,506,768 is: 404,589,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,056,096 : 185,506,768 = 185,506,768 : x
  2. Step 2: Convert to fraction form
    85,056,096/185,506,768 = 185,506,768/x
  3. Step 3: Cross multiply
    85,056,096x = 185,506,768 × 185,506,768
  4. Step 4: Simplify right side
    85,056,096x = 34,412,760,973,805,824
  5. Step 5: Solve for x
    x = 34,412,760,973,805,824/85,056,096
  6. Step 6: Final answer
    x = 404,589,001.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.