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Finding the Third Proportional to 123,406,302 and 180,566,748

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Solution

The third proportional to 123,406,302 and 180,566,748 is: 264,203,285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,406,302 : 180,566,748 = 180,566,748 : x
  2. Step 2: Convert to fraction form
    123,406,302/180,566,748 = 180,566,748/x
  3. Step 3: Cross multiply
    123,406,302x = 180,566,748 × 180,566,748
  4. Step 4: Simplify right side
    123,406,302x = 32,604,350,483,295,504
  5. Step 5: Solve for x
    x = 32,604,350,483,295,504/123,406,302
  6. Step 6: Final answer
    x = 264,203,285.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.