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Finding the Third Proportional to 123,510,810 and 181,673,703

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Solution

The third proportional to 123,510,810 and 181,673,703 is: 267,226,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,510,810 : 181,673,703 = 181,673,703 : x
  2. Step 2: Convert to fraction form
    123,510,810/181,673,703 = 181,673,703/x
  3. Step 3: Cross multiply
    123,510,810x = 181,673,703 × 181,673,703
  4. Step 4: Simplify right side
    123,510,810x = 33,005,334,361,732,208
  5. Step 5: Solve for x
    x = 33,005,334,361,732,208/123,510,810
  6. Step 6: Final answer
    x = 267,226,280.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.