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Finding the Third Proportional to 102,500,440.88 and 165,059,467.88

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Solution

The third proportional to 102,500,440.88 and 165,059,467.88 is: 265,800,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500,440.88 : 165,059,467.88 = 165,059,467.88 : x
  2. Step 2: Convert to fraction form
    102,500,440.88/165,059,467.88 = 165,059,467.88/x
  3. Step 3: Cross multiply
    102,500,440.88x = 165,059,467.88 × 165,059,467.88
  4. Step 4: Simplify right side
    102,500,440.88x = 27,244,627,935,178,156
  5. Step 5: Solve for x
    x = 27,244,627,935,178,156/102,500,440.88
  6. Step 6: Final answer
    x = 265,800,104.88

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.