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Finding the Third Proportional to 178,646,757.66 and 386,972,228.91

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Solution

The third proportional to 178,646,757.66 and 386,972,228.91 is: 838,232,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,646,757.66 : 386,972,228.91 = 386,972,228.91 : x
  2. Step 2: Convert to fraction form
    178,646,757.66/386,972,228.91 = 386,972,228.91/x
  3. Step 3: Cross multiply
    178,646,757.66x = 386,972,228.91 × 386,972,228.91
  4. Step 4: Simplify right side
    178,646,757.66x = 149,747,505,944,671,136
  5. Step 5: Solve for x
    x = 149,747,505,944,671,136/178,646,757.66
  6. Step 6: Final answer
    x = 838,232,430.91

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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.