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Finding the Third Proportional to 49,115,217 and 106,943,955

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Solution

The third proportional to 49,115,217 and 106,943,955 is: 232,860,816.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,115,217 : 106,943,955 = 106,943,955 : x
  2. Step 2: Convert to fraction form
    49,115,217/106,943,955 = 106,943,955/x
  3. Step 3: Cross multiply
    49,115,217x = 106,943,955 × 106,943,955
  4. Step 4: Simplify right side
    49,115,217x = 11,437,009,511,042,024
  5. Step 5: Solve for x
    x = 11,437,009,511,042,024/49,115,217
  6. Step 6: Final answer
    x = 232,860,816.05

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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.