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Finding the Third Proportional to 75,486,916.50 and 165,104,038.50

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Solution

The third proportional to 75,486,916.50 and 165,104,038.50 is: 361,113,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486,916.50 : 165,104,038.50 = 165,104,038.50 : x
  2. Step 2: Convert to fraction form
    75,486,916.50/165,104,038.50 = 165,104,038.50/x
  3. Step 3: Cross multiply
    75,486,916.50x = 165,104,038.50 × 165,104,038.50
  4. Step 4: Simplify right side
    75,486,916.50x = 27,259,343,529,009,484
  5. Step 5: Solve for x
    x = 27,259,343,529,009,484/75,486,916.50
  6. Step 6: Final answer
    x = 361,113,485.53

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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.