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Finding the Third Proportional to 51,329,946 and 114,136,134

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Solution

The third proportional to 51,329,946 and 114,136,134 is: 253,790,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,329,946 : 114,136,134 = 114,136,134 : x
  2. Step 2: Convert to fraction form
    51,329,946/114,136,134 = 114,136,134/x
  3. Step 3: Cross multiply
    51,329,946x = 114,136,134 × 114,136,134
  4. Step 4: Simplify right side
    51,329,946x = 13,027,057,084,465,956
  5. Step 5: Solve for x
    x = 13,027,057,084,465,956/51,329,946
  6. Step 6: Final answer
    x = 253,790,586.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.