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Finding the Third Proportional to 106,753,106 and 233,080,998

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Solution

The third proportional to 106,753,106 and 233,080,998 is: 508,900,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753,106 : 233,080,998 = 233,080,998 : x
  2. Step 2: Convert to fraction form
    106,753,106/233,080,998 = 233,080,998/x
  3. Step 3: Cross multiply
    106,753,106x = 233,080,998 × 233,080,998
  4. Step 4: Simplify right side
    106,753,106x = 54,326,751,628,676,000
  5. Step 5: Solve for x
    x = 54,326,751,628,676,000/106,753,106
  6. Step 6: Final answer
    x = 508,900,899.13

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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.