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Finding the Third Proportional to 105,857,406 and 229,307,850

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Solution

The third proportional to 105,857,406 and 229,307,850 is: 496,725,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,857,406 : 229,307,850 = 229,307,850 : x
  2. Step 2: Convert to fraction form
    105,857,406/229,307,850 = 229,307,850/x
  3. Step 3: Cross multiply
    105,857,406x = 229,307,850 × 229,307,850
  4. Step 4: Simplify right side
    105,857,406x = 52,582,090,071,622,496
  5. Step 5: Solve for x
    x = 52,582,090,071,622,496/105,857,406
  6. Step 6: Final answer
    x = 496,725,661.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.