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Finding the Third Proportional to 142,718,793.75 and 227,096,015.06

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Solution

The third proportional to 142,718,793.75 and 227,096,015.06 is: 361,358,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718,793.75 : 227,096,015.06 = 227,096,015.06 : x
  2. Step 2: Convert to fraction form
    142,718,793.75/227,096,015.06 = 227,096,015.06/x
  3. Step 3: Cross multiply
    142,718,793.75x = 227,096,015.06 × 227,096,015.06
  4. Step 4: Simplify right side
    142,718,793.75x = 51,572,600,057,267,224
  5. Step 5: Solve for x
    x = 51,572,600,057,267,224/142,718,793.75
  6. Step 6: Final answer
    x = 361,358,155.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.