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Finding the Third Proportional to 165,580,638 and 360,154,272

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Solution

The third proportional to 165,580,638 and 360,154,272 is: 783,371,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,580,638 : 360,154,272 = 360,154,272 : x
  2. Step 2: Convert to fraction form
    165,580,638/360,154,272 = 360,154,272/x
  3. Step 3: Cross multiply
    165,580,638x = 360,154,272 × 360,154,272
  4. Step 4: Simplify right side
    165,580,638x = 129,711,099,639,849,984
  5. Step 5: Solve for x
    x = 129,711,099,639,849,984/165,580,638
  6. Step 6: Final answer
    x = 783,371,179.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.