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Finding the Third Proportional to 186,451,632 and 282,266,856

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Solution

The third proportional to 186,451,632 and 282,266,856 is: 427,320,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,451,632 : 282,266,856 = 282,266,856 : x
  2. Step 2: Convert to fraction form
    186,451,632/282,266,856 = 282,266,856/x
  3. Step 3: Cross multiply
    186,451,632x = 282,266,856 × 282,266,856
  4. Step 4: Simplify right side
    186,451,632x = 79,674,577,996,124,736
  5. Step 5: Solve for x
    x = 79,674,577,996,124,736/186,451,632
  6. Step 6: Final answer
    x = 427,320,357.25

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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.