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Finding the Third Proportional to 86,143,609.69 and 189,024,873.75

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Solution

The third proportional to 86,143,609.69 and 189,024,873.75 is: 414,777,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,609.69 : 189,024,873.75 = 189,024,873.75 : x
  2. Step 2: Convert to fraction form
    86,143,609.69/189,024,873.75 = 189,024,873.75/x
  3. Step 3: Cross multiply
    86,143,609.69x = 189,024,873.75 × 189,024,873.75
  4. Step 4: Simplify right side
    86,143,609.69x = 35,730,402,896,203,440
  5. Step 5: Solve for x
    x = 35,730,402,896,203,440/86,143,609.69
  6. Step 6: Final answer
    x = 414,777,172.98

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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.