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Finding the Third Proportional to 212,970,525.75 and 327,148,895.25

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Solution

The third proportional to 212,970,525.75 and 327,148,895.25 is: 502,540,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,970,525.75 : 327,148,895.25 = 327,148,895.25 : x
  2. Step 2: Convert to fraction form
    212,970,525.75/327,148,895.25 = 327,148,895.25/x
  3. Step 3: Cross multiply
    212,970,525.75x = 327,148,895.25 × 327,148,895.25
  4. Step 4: Simplify right side
    212,970,525.75x = 107,026,399,663,295,472
  5. Step 5: Solve for x
    x = 107,026,399,663,295,472/212,970,525.75
  6. Step 6: Final answer
    x = 502,540,899.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.