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Finding the Third Proportional to 182,013,824 and 393,117,205

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Solution

The third proportional to 182,013,824 and 393,117,205 is: 849,062,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,013,824 : 393,117,205 = 393,117,205 : x
  2. Step 2: Convert to fraction form
    182,013,824/393,117,205 = 393,117,205/x
  3. Step 3: Cross multiply
    182,013,824x = 393,117,205 × 393,117,205
  4. Step 4: Simplify right side
    182,013,824x = 154,541,136,867,012,032
  5. Step 5: Solve for x
    x = 154,541,136,867,012,032/182,013,824
  6. Step 6: Final answer
    x = 849,062,634.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.