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Finding the Third Proportional to 164,487,294 and 361,254,904

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Solution

The third proportional to 164,487,294 and 361,254,904 is: 793,405,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,487,294 : 361,254,904 = 361,254,904 : x
  2. Step 2: Convert to fraction form
    164,487,294/361,254,904 = 361,254,904/x
  3. Step 3: Cross multiply
    164,487,294x = 361,254,904 × 361,254,904
  4. Step 4: Simplify right side
    164,487,294x = 130,505,105,664,049,216
  5. Step 5: Solve for x
    x = 130,505,105,664,049,216/164,487,294
  6. Step 6: Final answer
    x = 793,405,390.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.