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Finding the Third Proportional to 164,500,097.63 and 255,535,529.63

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Solution

The third proportional to 164,500,097.63 and 255,535,529.63 is: 396,950,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,500,097.63 : 255,535,529.63 = 255,535,529.63 : x
  2. Step 2: Convert to fraction form
    164,500,097.63/255,535,529.63 = 255,535,529.63/x
  3. Step 3: Cross multiply
    164,500,097.63x = 255,535,529.63 × 255,535,529.63
  4. Step 4: Simplify right side
    164,500,097.63x = 65,298,406,900,729,256
  5. Step 5: Solve for x
    x = 65,298,406,900,729,256/164,500,097.63
  6. Step 6: Final answer
    x = 396,950,566.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.