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Finding the Third Proportional to 102,500,449 and 165,059,480

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Solution

The third proportional to 102,500,449 and 165,059,480 is: 265,800,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500,449 : 165,059,480 = 165,059,480 : x
  2. Step 2: Convert to fraction form
    102,500,449/165,059,480 = 165,059,480/x
  3. Step 3: Cross multiply
    102,500,449x = 165,059,480 × 165,059,480
  4. Step 4: Simplify right side
    102,500,449x = 27,244,631,937,870,400
  5. Step 5: Solve for x
    x = 27,244,631,937,870,400/102,500,449
  6. Step 6: Final answer
    x = 265,800,122.86

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Why These Related Problems?

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