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Finding the Third Proportional to 102,329,165 and 157,446,008

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Solution

The third proportional to 102,329,165 and 157,446,008 is: 242,250,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,329,165 : 157,446,008 = 157,446,008 : x
  2. Step 2: Convert to fraction form
    102,329,165/157,446,008 = 157,446,008/x
  3. Step 3: Cross multiply
    102,329,165x = 157,446,008 × 157,446,008
  4. Step 4: Simplify right side
    102,329,165x = 24,789,245,435,136,064
  5. Step 5: Solve for x
    x = 24,789,245,435,136,064/102,329,165
  6. Step 6: Final answer
    x = 242,250,050.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.