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Finding the Third Proportional to 75,709,114 and 164,704,253

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Solution

The third proportional to 75,709,114 and 164,704,253 is: 358,312,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709,114 : 164,704,253 = 164,704,253 : x
  2. Step 2: Convert to fraction form
    75,709,114/164,704,253 = 164,704,253/x
  3. Step 3: Cross multiply
    75,709,114x = 164,704,253 × 164,704,253
  4. Step 4: Simplify right side
    75,709,114x = 27,127,490,956,288,008
  5. Step 5: Solve for x
    x = 27,127,490,956,288,008/75,709,114
  6. Step 6: Final answer
    x = 358,312,091.15

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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.