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Finding the Third Proportional to 75,768,162 and 163,642,908

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Solution

The third proportional to 75,768,162 and 163,642,908 is: 353,433,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768,162 : 163,642,908 = 163,642,908 : x
  2. Step 2: Convert to fraction form
    75,768,162/163,642,908 = 163,642,908/x
  3. Step 3: Cross multiply
    75,768,162x = 163,642,908 × 163,642,908
  4. Step 4: Simplify right side
    75,768,162x = 26,779,001,338,696,464
  5. Step 5: Solve for x
    x = 26,779,001,338,696,464/75,768,162
  6. Step 6: Final answer
    x = 353,433,429.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.