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Finding the Third Proportional to 38,835,105.75 and 83,722,916.25

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Solution

The third proportional to 38,835,105.75 and 83,722,916.25 is: 180,494,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,835,105.75 : 83,722,916.25 = 83,722,916.25 : x
  2. Step 2: Convert to fraction form
    38,835,105.75/83,722,916.25 = 83,722,916.25/x
  3. Step 3: Cross multiply
    38,835,105.75x = 83,722,916.25 × 83,722,916.25
  4. Step 4: Simplify right side
    38,835,105.75x = 7,009,526,705,404,514
  5. Step 5: Solve for x
    x = 7,009,526,705,404,514/38,835,105.75
  6. Step 6: Final answer
    x = 180,494,595.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.