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Finding the Third Proportional to 102,731,480 and 213,966,064

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Solution

The third proportional to 102,731,480 and 213,966,064 is: 445,642,139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731,480 : 213,966,064 = 213,966,064 : x
  2. Step 2: Convert to fraction form
    102,731,480/213,966,064 = 213,966,064/x
  3. Step 3: Cross multiply
    102,731,480x = 213,966,064 × 213,966,064
  4. Step 4: Simplify right side
    102,731,480x = 45,781,476,543,652,096
  5. Step 5: Solve for x
    x = 45,781,476,543,652,096/102,731,480
  6. Step 6: Final answer
    x = 445,642,139.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.