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Finding the Third Proportional to 147,581,525.81 and 322,964,173.69

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Solution

The third proportional to 147,581,525.81 and 322,964,173.69 is: 706,767,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,581,525.81 : 322,964,173.69 = 322,964,173.69 : x
  2. Step 2: Convert to fraction form
    147,581,525.81/322,964,173.69 = 322,964,173.69/x
  3. Step 3: Cross multiply
    147,581,525.81x = 322,964,173.69 × 322,964,173.69
  4. Step 4: Simplify right side
    147,581,525.81x = 104,305,857,485,649,664
  5. Step 5: Solve for x
    x = 104,305,857,485,649,664/147,581,525.81
  6. Step 6: Final answer
    x = 706,767,713.04

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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.