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Finding the Third Proportional to 123,506,066 and 262,985,764

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Solution

The third proportional to 123,506,066 and 262,985,764 is: 559,984,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,506,066 : 262,985,764 = 262,985,764 : x
  2. Step 2: Convert to fraction form
    123,506,066/262,985,764 = 262,985,764/x
  3. Step 3: Cross multiply
    123,506,066x = 262,985,764 × 262,985,764
  4. Step 4: Simplify right side
    123,506,066x = 69,161,512,066,663,696
  5. Step 5: Solve for x
    x = 69,161,512,066,663,696/123,506,066
  6. Step 6: Final answer
    x = 559,984,738.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.