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Finding the Third Proportional to 138,535,356.38 and 301,184,232.75

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Solution

The third proportional to 138,535,356.38 and 301,184,232.75 is: 654,792,714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,535,356.38 : 301,184,232.75 = 301,184,232.75 : x
  2. Step 2: Convert to fraction form
    138,535,356.38/301,184,232.75 = 301,184,232.75/x
  3. Step 3: Cross multiply
    138,535,356.38x = 301,184,232.75 × 301,184,232.75
  4. Step 4: Simplify right side
    138,535,356.38x = 90,711,942,057,206,176
  5. Step 5: Solve for x
    x = 90,711,942,057,206,176/138,535,356.38
  6. Step 6: Final answer
    x = 654,792,714.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.