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Finding the Third Proportional to 151,772,780 and 227,243,154

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Solution

The third proportional to 151,772,780 and 227,243,154 is: 340,241,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,772,780 : 227,243,154 = 227,243,154 : x
  2. Step 2: Convert to fraction form
    151,772,780/227,243,154 = 227,243,154/x
  3. Step 3: Cross multiply
    151,772,780x = 227,243,154 × 227,243,154
  4. Step 4: Simplify right side
    151,772,780x = 51,639,451,039,867,712
  5. Step 5: Solve for x
    x = 51,639,451,039,867,712/151,772,780
  6. Step 6: Final answer
    x = 340,241,847.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.