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Finding the Third Proportional to 186,942,184 and 432,737,327

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Solution

The third proportional to 186,942,184 and 432,737,327 is: 1,001,708,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,942,184 : 432,737,327 = 432,737,327 : x
  2. Step 2: Convert to fraction form
    186,942,184/432,737,327 = 432,737,327/x
  3. Step 3: Cross multiply
    186,942,184x = 432,737,327 × 432,737,327
  4. Step 4: Simplify right side
    186,942,184x = 187,261,594,179,104,928
  5. Step 5: Solve for x
    x = 187,261,594,179,104,928/186,942,184
  6. Step 6: Final answer
    x = 1,001,708,604.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.