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Finding the Third Proportional to 51,232,989 and 109,788,054

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Solution

The third proportional to 51,232,989 and 109,788,054 is: 235,266,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232,989 : 109,788,054 = 109,788,054 : x
  2. Step 2: Convert to fraction form
    51,232,989/109,788,054 = 109,788,054/x
  3. Step 3: Cross multiply
    51,232,989x = 109,788,054 × 109,788,054
  4. Step 4: Simplify right side
    51,232,989x = 12,053,416,801,106,916
  5. Step 5: Solve for x
    x = 12,053,416,801,106,916/51,232,989
  6. Step 6: Final answer
    x = 235,266,710.70

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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.