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Finding the Third Proportional to 164,487,292 and 361,254,900

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Solution

The third proportional to 164,487,292 and 361,254,900 is: 793,405,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,487,292 : 361,254,900 = 361,254,900 : x
  2. Step 2: Convert to fraction form
    164,487,292/361,254,900 = 361,254,900/x
  3. Step 3: Cross multiply
    164,487,292x = 361,254,900 × 361,254,900
  4. Step 4: Simplify right side
    164,487,292x = 130,505,102,774,010,000
  5. Step 5: Solve for x
    x = 130,505,102,774,010,000/164,487,292
  6. Step 6: Final answer
    x = 793,405,382.19

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