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Finding the Third Proportional to 38,952,981 and 83,309,305.50

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Solution

The third proportional to 38,952,981 and 83,309,305.50 is: 178,174,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952,981 : 83,309,305.50 = 83,309,305.50 : x
  2. Step 2: Convert to fraction form
    38,952,981/83,309,305.50 = 83,309,305.50/x
  3. Step 3: Cross multiply
    38,952,981x = 83,309,305.50 × 83,309,305.50
  4. Step 4: Simplify right side
    38,952,981x = 6,940,440,382,892,330
  5. Step 5: Solve for x
    x = 6,940,440,382,892,330/38,952,981
  6. Step 6: Final answer
    x = 178,174,820.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.