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Finding the Third Proportional to 85,056,094 and 185,506,764

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Solution

The third proportional to 85,056,094 and 185,506,764 is: 404,588,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,056,094 : 185,506,764 = 185,506,764 : x
  2. Step 2: Convert to fraction form
    85,056,094/185,506,764 = 185,506,764/x
  3. Step 3: Cross multiply
    85,056,094x = 185,506,764 × 185,506,764
  4. Step 4: Simplify right side
    85,056,094x = 34,412,759,489,751,696
  5. Step 5: Solve for x
    x = 34,412,759,489,751,696/85,056,094
  6. Step 6: Final answer
    x = 404,588,993.82

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Why These Related Problems?

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