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Finding the Third Proportional to 83,588,602 and 177,291,212

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Solution

The third proportional to 83,588,602 and 177,291,212 is: 376,034,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,588,602 : 177,291,212 = 177,291,212 : x
  2. Step 2: Convert to fraction form
    83,588,602/177,291,212 = 177,291,212/x
  3. Step 3: Cross multiply
    83,588,602x = 177,291,212 × 177,291,212
  4. Step 4: Simplify right side
    83,588,602x = 31,432,173,852,428,944
  5. Step 5: Solve for x
    x = 31,432,173,852,428,944/83,588,602
  6. Step 6: Final answer
    x = 376,034,209.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.