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Finding the Third Proportional to 59,327,412.19 and 130,142,163.38

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Solution

The third proportional to 59,327,412.19 and 130,142,163.38 is: 285,483,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,327,412.19 : 130,142,163.38 = 130,142,163.38 : x
  2. Step 2: Convert to fraction form
    59,327,412.19/130,142,163.38 = 130,142,163.38/x
  3. Step 3: Cross multiply
    59,327,412.19x = 130,142,163.38 × 130,142,163.38
  4. Step 4: Simplify right side
    59,327,412.19x = 16,936,982,687,925,192
  5. Step 5: Solve for x
    x = 16,936,982,687,925,192/59,327,412.19
  6. Step 6: Final answer
    x = 285,483,254.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.