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Finding the Third Proportional to 253,808,451 and 342,447,195

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Solution

The third proportional to 253,808,451 and 342,447,195 is: 462,041,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,451 : 342,447,195 = 342,447,195 : x
  2. Step 2: Convert to fraction form
    253,808,451/342,447,195 = 342,447,195/x
  3. Step 3: Cross multiply
    253,808,451x = 342,447,195 × 342,447,195
  4. Step 4: Simplify right side
    253,808,451x = 117,270,081,363,368,032
  5. Step 5: Solve for x
    x = 117,270,081,363,368,032/253,808,451
  6. Step 6: Final answer
    x = 462,041,673.16

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Why These Related Problems?

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