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Finding the Third Proportional to 161,010,648 and 353,652,120

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Solution

The third proportional to 161,010,648 and 353,652,120 is: 776,779,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,010,648 : 353,652,120 = 353,652,120 : x
  2. Step 2: Convert to fraction form
    161,010,648/353,652,120 = 353,652,120/x
  3. Step 3: Cross multiply
    161,010,648x = 353,652,120 × 353,652,120
  4. Step 4: Simplify right side
    161,010,648x = 125,069,821,980,494,400
  5. Step 5: Solve for x
    x = 125,069,821,980,494,400/161,010,648
  6. Step 6: Final answer
    x = 776,779,818.81

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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.