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Finding the Third Proportional to 82,360,064 and 175,663,696

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Solution

The third proportional to 82,360,064 and 175,663,696 is: 374,668,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,360,064 : 175,663,696 = 175,663,696 : x
  2. Step 2: Convert to fraction form
    82,360,064/175,663,696 = 175,663,696/x
  3. Step 3: Cross multiply
    82,360,064x = 175,663,696 × 175,663,696
  4. Step 4: Simplify right side
    82,360,064x = 30,857,734,092,380,416
  5. Step 5: Solve for x
    x = 30,857,734,092,380,416/82,360,064
  6. Step 6: Final answer
    x = 374,668,651.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.