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Finding the Third Proportional to 142,110,549.50 and 309,245,005

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Solution

The third proportional to 142,110,549.50 and 309,245,005 is: 672,944,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,110,549.50 : 309,245,005 = 309,245,005 : x
  2. Step 2: Convert to fraction form
    142,110,549.50/309,245,005 = 309,245,005/x
  3. Step 3: Cross multiply
    142,110,549.50x = 309,245,005 × 309,245,005
  4. Step 4: Simplify right side
    142,110,549.50x = 95,632,473,117,450,032
  5. Step 5: Solve for x
    x = 95,632,473,117,450,032/142,110,549.50
  6. Step 6: Final answer
    x = 672,944,221.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.