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Finding the Third Proportional to 178,005,492 and 369,653,544

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Solution

The third proportional to 178,005,492 and 369,653,544 is: 767,637,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005,492 : 369,653,544 = 369,653,544 : x
  2. Step 2: Convert to fraction form
    178,005,492/369,653,544 = 369,653,544/x
  3. Step 3: Cross multiply
    178,005,492x = 369,653,544 × 369,653,544
  4. Step 4: Simplify right side
    178,005,492x = 136,643,742,591,759,936
  5. Step 5: Solve for x
    x = 136,643,742,591,759,936/178,005,492
  6. Step 6: Final answer
    x = 767,637,790.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.