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Finding the Third Proportional to 119,287,924 and 260,905,064

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Solution

The third proportional to 119,287,924 and 260,905,064 is: 570,648,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,287,924 : 260,905,064 = 260,905,064 : x
  2. Step 2: Convert to fraction form
    119,287,924/260,905,064 = 260,905,064/x
  3. Step 3: Cross multiply
    119,287,924x = 260,905,064 × 260,905,064
  4. Step 4: Simplify right side
    119,287,924x = 68,071,452,420,844,096
  5. Step 5: Solve for x
    x = 68,071,452,420,844,096/119,287,924
  6. Step 6: Final answer
    x = 570,648,311.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.