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Finding the Third Proportional to 165,114,272 and 385,569,668

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Solution

The third proportional to 165,114,272 and 385,569,668 is: 900,370,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,114,272 : 385,569,668 = 385,569,668 : x
  2. Step 2: Convert to fraction form
    165,114,272/385,569,668 = 385,569,668/x
  3. Step 3: Cross multiply
    165,114,272x = 385,569,668 × 385,569,668
  4. Step 4: Simplify right side
    165,114,272x = 148,663,968,881,630,208
  5. Step 5: Solve for x
    x = 148,663,968,881,630,208/165,114,272
  6. Step 6: Final answer
    x = 900,370,192.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.