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Finding the Third Proportional to 133,573,971 and 204,333,368.75

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Solution

The third proportional to 133,573,971 and 204,333,368.75 is: 312,576,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,573,971 : 204,333,368.75 = 204,333,368.75 : x
  2. Step 2: Convert to fraction form
    133,573,971/204,333,368.75 = 204,333,368.75/x
  3. Step 3: Cross multiply
    133,573,971x = 204,333,368.75 × 204,333,368.75
  4. Step 4: Simplify right side
    133,573,971x = 41,752,125,584,723,480
  5. Step 5: Solve for x
    x = 41,752,125,584,723,480/133,573,971
  6. Step 6: Final answer
    x = 312,576,808.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.