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Finding the Third Proportional to 119,343,154 and 257,049,818

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Solution

The third proportional to 119,343,154 and 257,049,818 is: 553,652,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,343,154 : 257,049,818 = 257,049,818 : x
  2. Step 2: Convert to fraction form
    119,343,154/257,049,818 = 257,049,818/x
  3. Step 3: Cross multiply
    119,343,154x = 257,049,818 × 257,049,818
  4. Step 4: Simplify right side
    119,343,154x = 66,074,608,933,833,120
  5. Step 5: Solve for x
    x = 66,074,608,933,833,120/119,343,154
  6. Step 6: Final answer
    x = 553,652,276.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.