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Finding the Third Proportional to 127,664,140 and 202,184,094

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Solution

The third proportional to 127,664,140 and 202,184,094 is: 320,202,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,664,140 : 202,184,094 = 202,184,094 : x
  2. Step 2: Convert to fraction form
    127,664,140/202,184,094 = 202,184,094/x
  3. Step 3: Cross multiply
    127,664,140x = 202,184,094 × 202,184,094
  4. Step 4: Simplify right side
    127,664,140x = 40,878,407,866,600,832
  5. Step 5: Solve for x
    x = 40,878,407,866,600,832/127,664,140
  6. Step 6: Final answer
    x = 320,202,743.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.