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Finding the Third Proportional to 164,408,972 and 357,760,432

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Solution

The third proportional to 164,408,972 and 357,760,432 is: 778,500,863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,408,972 : 357,760,432 = 357,760,432 : x
  2. Step 2: Convert to fraction form
    164,408,972/357,760,432 = 357,760,432/x
  3. Step 3: Cross multiply
    164,408,972x = 357,760,432 × 357,760,432
  4. Step 4: Simplify right side
    164,408,972x = 127,992,526,704,826,624
  5. Step 5: Solve for x
    x = 127,992,526,704,826,624/164,408,972
  6. Step 6: Final answer
    x = 778,500,863.72

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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.