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Finding the Third Proportional to 151,418,228 and 329,408,506

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Solution

The third proportional to 151,418,228 and 329,408,506 is: 716,624,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,418,228 : 329,408,506 = 329,408,506 : x
  2. Step 2: Convert to fraction form
    151,418,228/329,408,506 = 329,408,506/x
  3. Step 3: Cross multiply
    151,418,228x = 329,408,506 × 329,408,506
  4. Step 4: Simplify right side
    151,418,228x = 108,509,963,825,152,032
  5. Step 5: Solve for x
    x = 108,509,963,825,152,032/151,418,228
  6. Step 6: Final answer
    x = 716,624,182.30

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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.