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Finding the Third Proportional to 77,853,266.44 and 165,769,466.63

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Solution

The third proportional to 77,853,266.44 and 165,769,466.63 is: 352,965,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,853,266.44 : 165,769,466.63 = 165,769,466.63 : x
  2. Step 2: Convert to fraction form
    77,853,266.44/165,769,466.63 = 165,769,466.63/x
  3. Step 3: Cross multiply
    77,853,266.44x = 165,769,466.63 × 165,769,466.63
  4. Step 4: Simplify right side
    77,853,266.44x = 27,479,516,065,136,988
  5. Step 5: Solve for x
    x = 27,479,516,065,136,988/77,853,266.44
  6. Step 6: Final answer
    x = 352,965,486.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.