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Finding the Third Proportional to 123,406,176 and 180,566,588.25

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Solution

The third proportional to 123,406,176 and 180,566,588.25 is: 264,203,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,406,176 : 180,566,588.25 = 180,566,588.25 : x
  2. Step 2: Convert to fraction form
    123,406,176/180,566,588.25 = 180,566,588.25/x
  3. Step 3: Cross multiply
    123,406,176x = 180,566,588.25 × 180,566,588.25
  4. Step 4: Simplify right side
    123,406,176x = 32,604,292,792,245,040
  5. Step 5: Solve for x
    x = 32,604,292,792,245,040/123,406,176
  6. Step 6: Final answer
    x = 264,203,088.12

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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.