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Finding the Third Proportional to 85,357,305 and 201,430,512

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Solution

The third proportional to 85,357,305 and 201,430,512 is: 475,345,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,357,305 : 201,430,512 = 201,430,512 : x
  2. Step 2: Convert to fraction form
    85,357,305/201,430,512 = 201,430,512/x
  3. Step 3: Cross multiply
    85,357,305x = 201,430,512 × 201,430,512
  4. Step 4: Simplify right side
    85,357,305x = 40,574,251,164,582,144
  5. Step 5: Solve for x
    x = 40,574,251,164,582,144/85,357,305
  6. Step 6: Final answer
    x = 475,345,972.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.