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Finding the Third Proportional to 123,700,914 and 181,764,763

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Solution

The third proportional to 123,700,914 and 181,764,763 is: 267,083,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,700,914 : 181,764,763 = 181,764,763 : x
  2. Step 2: Convert to fraction form
    123,700,914/181,764,763 = 181,764,763/x
  3. Step 3: Cross multiply
    123,700,914x = 181,764,763 × 181,764,763
  4. Step 4: Simplify right side
    123,700,914x = 33,038,429,068,446,168
  5. Step 5: Solve for x
    x = 33,038,429,068,446,168/123,700,914
  6. Step 6: Final answer
    x = 267,083,144.34

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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.