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Finding the Third Proportional to 165,727,468.50 and 230,430,859.50

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Solution

The third proportional to 165,727,468.50 and 230,430,859.50 is: 320,395,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,727,468.50 : 230,430,859.50 = 230,430,859.50 : x
  2. Step 2: Convert to fraction form
    165,727,468.50/230,430,859.50 = 230,430,859.50/x
  3. Step 3: Cross multiply
    165,727,468.50x = 230,430,859.50 × 230,430,859.50
  4. Step 4: Simplify right side
    165,727,468.50x = 53,098,381,009,908,744
  5. Step 5: Solve for x
    x = 53,098,381,009,908,744/165,727,468.50
  6. Step 6: Final answer
    x = 320,395,776.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.