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Finding the Third Proportional to 138,723,354 and 302,161,995

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Solution

The third proportional to 138,723,354 and 302,161,995 is: 658,157,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,723,354 : 302,161,995 = 302,161,995 : x
  2. Step 2: Convert to fraction form
    138,723,354/302,161,995 = 302,161,995/x
  3. Step 3: Cross multiply
    138,723,354x = 302,161,995 × 302,161,995
  4. Step 4: Simplify right side
    138,723,354x = 91,301,871,222,380,032
  5. Step 5: Solve for x
    x = 91,301,871,222,380,032/138,723,354
  6. Step 6: Final answer
    x = 658,157,899.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.