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Finding the Third Proportional to 186,453,416 and 282,268,236

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Solution

The third proportional to 186,453,416 and 282,268,236 is: 427,320,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,453,416 : 282,268,236 = 282,268,236 : x
  2. Step 2: Convert to fraction form
    186,453,416/282,268,236 = 282,268,236/x
  3. Step 3: Cross multiply
    186,453,416x = 282,268,236 × 282,268,236
  4. Step 4: Simplify right side
    186,453,416x = 79,675,357,054,551,696
  5. Step 5: Solve for x
    x = 79,675,357,054,551,696/186,453,416
  6. Step 6: Final answer
    x = 427,320,446.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.