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Finding the Third Proportional to 177,458,815,592 and 418,497,156,032

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Solution

The third proportional to 177,458,815,592 and 418,497,156,032 is: 986,932,483,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,458,815,592 : 418,497,156,032 = 418,497,156,032 : x
  2. Step 2: Convert to fraction form
    177,458,815,592/418,497,156,032 = 418,497,156,032/x
  3. Step 3: Cross multiply
    177,458,815,592x = 418,497,156,032 × 418,497,156,032
  4. Step 4: Simplify right side
    177,458,815,592x = 175,139,869,606,872,159,879,168
  5. Step 5: Solve for x
    x = 175,139,869,606,872,159,879,168/177,458,815,592
  6. Step 6: Final answer
    x = 986,932,483,588.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.