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Finding the Third Proportional to 75,709,113 and 164,704,251

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Solution

The third proportional to 75,709,113 and 164,704,251 is: 358,312,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709,113 : 164,704,251 = 164,704,251 : x
  2. Step 2: Convert to fraction form
    75,709,113/164,704,251 = 164,704,251/x
  3. Step 3: Cross multiply
    75,709,113x = 164,704,251 × 164,704,251
  4. Step 4: Simplify right side
    75,709,113x = 27,127,490,297,471,000
  5. Step 5: Solve for x
    x = 27,127,490,297,471,000/75,709,113
  6. Step 6: Final answer
    x = 358,312,087.18

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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.