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Finding the Third Proportional to 133,526,773.69 and 284,690,608.88

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Solution

The third proportional to 133,526,773.69 and 284,690,608.88 is: 606,984,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,526,773.69 : 284,690,608.88 = 284,690,608.88 : x
  2. Step 2: Convert to fraction form
    133,526,773.69/284,690,608.88 = 284,690,608.88/x
  3. Step 3: Cross multiply
    133,526,773.69x = 284,690,608.88 × 284,690,608.88
  4. Step 4: Simplify right side
    133,526,773.69x = 81,048,742,781,618,224
  5. Step 5: Solve for x
    x = 81,048,742,781,618,224/133,526,773.69
  6. Step 6: Final answer
    x = 606,984,955.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.