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Finding the Third Proportional to 51,232,992 and 109,788,060

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Solution

The third proportional to 51,232,992 and 109,788,060 is: 235,266,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232,992 : 109,788,060 = 109,788,060 : x
  2. Step 2: Convert to fraction form
    51,232,992/109,788,060 = 109,788,060/x
  3. Step 3: Cross multiply
    51,232,992x = 109,788,060 × 109,788,060
  4. Step 4: Simplify right side
    51,232,992x = 12,053,418,118,563,600
  5. Step 5: Solve for x
    x = 12,053,418,118,563,600/51,232,992
  6. Step 6: Final answer
    x = 235,266,722.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.