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Finding the Third Proportional to 186,928,872 and 406,773,871

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Solution

The third proportional to 186,928,872 and 406,773,871 is: 885,176,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,928,872 : 406,773,871 = 406,773,871 : x
  2. Step 2: Convert to fraction form
    186,928,872/406,773,871 = 406,773,871/x
  3. Step 3: Cross multiply
    186,928,872x = 406,773,871 × 406,773,871
  4. Step 4: Simplify right side
    186,928,872x = 165,464,982,128,324,640
  5. Step 5: Solve for x
    x = 165,464,982,128,324,640/186,928,872
  6. Step 6: Final answer
    x = 885,176,165.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.