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Finding the Third Proportional to 83,886,522 and 179,431,575

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Solution

The third proportional to 83,886,522 and 179,431,575 is: 383,800,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886,522 : 179,431,575 = 179,431,575 : x
  2. Step 2: Convert to fraction form
    83,886,522/179,431,575 = 179,431,575/x
  3. Step 3: Cross multiply
    83,886,522x = 179,431,575 × 179,431,575
  4. Step 4: Simplify right side
    83,886,522x = 32,195,690,106,980,624
  5. Step 5: Solve for x
    x = 32,195,690,106,980,624/83,886,522
  6. Step 6: Final answer
    x = 383,800,512.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.