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Finding the Third Proportional to 102,731,476 and 213,966,056

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Solution

The third proportional to 102,731,476 and 213,966,056 is: 445,642,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731,476 : 213,966,056 = 213,966,056 : x
  2. Step 2: Convert to fraction form
    102,731,476/213,966,056 = 213,966,056/x
  3. Step 3: Cross multiply
    102,731,476x = 213,966,056 × 213,966,056
  4. Step 4: Simplify right side
    102,731,476x = 45,781,473,120,195,136
  5. Step 5: Solve for x
    x = 45,781,473,120,195,136/102,731,476
  6. Step 6: Final answer
    x = 445,642,123.55

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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.