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Finding the Third Proportional to 164,723,400 and 358,131,600

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Solution

The third proportional to 164,723,400 and 358,131,600 is: 778,627,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,723,400 : 358,131,600 = 358,131,600 : x
  2. Step 2: Convert to fraction form
    164,723,400/358,131,600 = 358,131,600/x
  3. Step 3: Cross multiply
    164,723,400x = 358,131,600 × 358,131,600
  4. Step 4: Simplify right side
    164,723,400x = 128,258,242,918,560,000
  5. Step 5: Solve for x
    x = 128,258,242,918,560,000/164,723,400
  6. Step 6: Final answer
    x = 778,627,947.93

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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.