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Finding the Third Proportional to 83,079,516 and 180,788,418

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Solution

The third proportional to 83,079,516 and 180,788,418 is: 393,411,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,079,516 : 180,788,418 = 180,788,418 : x
  2. Step 2: Convert to fraction form
    83,079,516/180,788,418 = 180,788,418/x
  3. Step 3: Cross multiply
    83,079,516x = 180,788,418 × 180,788,418
  4. Step 4: Simplify right side
    83,079,516x = 32,684,452,082,942,724
  5. Step 5: Solve for x
    x = 32,684,452,082,942,724/83,079,516
  6. Step 6: Final answer
    x = 393,411,681.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.