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Finding the Third Proportional to 253,808,431.50 and 342,447,165

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Solution

The third proportional to 253,808,431.50 and 342,447,165 is: 462,041,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,431.50 : 342,447,165 = 342,447,165 : x
  2. Step 2: Convert to fraction form
    253,808,431.50/342,447,165 = 342,447,165/x
  3. Step 3: Cross multiply
    253,808,431.50x = 342,447,165 × 342,447,165
  4. Step 4: Simplify right side
    253,808,431.50x = 117,270,060,816,537,232
  5. Step 5: Solve for x
    x = 117,270,060,816,537,232/253,808,431.50
  6. Step 6: Final answer
    x = 462,041,627.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.