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Finding the Third Proportional to 110,334,906 and 234,119,145

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Solution

The third proportional to 110,334,906 and 234,119,145 is: 496,776,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,334,906 : 234,119,145 = 234,119,145 : x
  2. Step 2: Convert to fraction form
    110,334,906/234,119,145 = 234,119,145/x
  3. Step 3: Cross multiply
    110,334,906x = 234,119,145 × 234,119,145
  4. Step 4: Simplify right side
    110,334,906x = 54,811,774,055,531,024
  5. Step 5: Solve for x
    x = 54,811,774,055,531,024/110,334,906
  6. Step 6: Final answer
    x = 496,776,369.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.