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Finding the Third Proportional to 148,704,040 and 322,112,432

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Solution

The third proportional to 148,704,040 and 322,112,432 is: 697,737,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,704,040 : 322,112,432 = 322,112,432 : x
  2. Step 2: Convert to fraction form
    148,704,040/322,112,432 = 322,112,432/x
  3. Step 3: Cross multiply
    148,704,040x = 322,112,432 × 322,112,432
  4. Step 4: Simplify right side
    148,704,040x = 103,756,418,848,954,624
  5. Step 5: Solve for x
    x = 103,756,418,848,954,624/148,704,040
  6. Step 6: Final answer
    x = 697,737,726.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.