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Finding the Third Proportional to 75,486,889.41 and 165,103,985.81

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Solution

The third proportional to 75,486,889.41 and 165,103,985.81 is: 361,113,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486,889.41 : 165,103,985.81 = 165,103,985.81 : x
  2. Step 2: Convert to fraction form
    75,486,889.41/165,103,985.81 = 165,103,985.81/x
  3. Step 3: Cross multiply
    75,486,889.41x = 165,103,985.81 × 165,103,985.81
  4. Step 4: Simplify right side
    75,486,889.41x = 27,259,326,131,174,200
  5. Step 5: Solve for x
    x = 27,259,326,131,174,200/75,486,889.41
  6. Step 6: Final answer
    x = 361,113,384.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.