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Finding the Third Proportional to 75,547,682.44 and 164,396,317.29

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Solution

The third proportional to 75,547,682.44 and 164,396,317.29 is: 357,736,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,547,682.44 : 164,396,317.29 = 164,396,317.29 : x
  2. Step 2: Convert to fraction form
    75,547,682.44/164,396,317.29 = 164,396,317.29/x
  3. Step 3: Cross multiply
    75,547,682.44x = 164,396,317.29 × 164,396,317.29
  4. Step 4: Simplify right side
    75,547,682.44x = 27,026,149,138,208,580
  5. Step 5: Solve for x
    x = 27,026,149,138,208,580/75,547,682.44
  6. Step 6: Final answer
    x = 357,736,309.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.