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Finding the Third Proportional to 198,938,636,032 and 432,733,424,372

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Solution

The third proportional to 198,938,636,032 and 432,733,424,372 is: 941,286,319,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,938,636,032 : 432,733,424,372 = 432,733,424,372 : x
  2. Step 2: Convert to fraction form
    198,938,636,032/432,733,424,372 = 432,733,424,372/x
  3. Step 3: Cross multiply
    198,938,636,032x = 432,733,424,372 × 432,733,424,372
  4. Step 4: Simplify right side
    198,938,636,032x = 187,258,216,568,717,437,829,120
  5. Step 5: Solve for x
    x = 187,258,216,568,717,437,829,120/198,938,636,032
  6. Step 6: Final answer
    x = 941,286,319,760.41

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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.