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Finding the Third Proportional to 151,348,276,391.25 and 212,861,224,341.75

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Solution

The third proportional to 151,348,276,391.25 and 212,861,224,341.75 is: 299,375,069,929.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,348,276,391.25 : 212,861,224,341.75 = 212,861,224,341.75 : x
  2. Step 2: Convert to fraction form
    151,348,276,391.25/212,861,224,341.75 = 212,861,224,341.75/x
  3. Step 3: Cross multiply
    151,348,276,391.25x = 212,861,224,341.75 × 212,861,224,341.75
  4. Step 4: Simplify right side
    151,348,276,391.25x = 45,309,900,828,268,820,430,848
  5. Step 5: Solve for x
    x = 45,309,900,828,268,820,430,848/151,348,276,391.25
  6. Step 6: Final answer
    x = 299,375,069,929.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.