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Finding the Third Proportional to 100,489,580 and 217,673,368

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Solution

The third proportional to 100,489,580 and 217,673,368 is: 471,508,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489,580 : 217,673,368 = 217,673,368 : x
  2. Step 2: Convert to fraction form
    100,489,580/217,673,368 = 217,673,368/x
  3. Step 3: Cross multiply
    100,489,580x = 217,673,368 × 217,673,368
  4. Step 4: Simplify right side
    100,489,580x = 47,381,695,136,463,424
  5. Step 5: Solve for x
    x = 47,381,695,136,463,424/100,489,580
  6. Step 6: Final answer
    x = 471,508,539.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.