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Finding the Third Proportional to 119,149,548 and 257,118,312

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Solution

The third proportional to 119,149,548 and 257,118,312 is: 554,847,479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149,548 : 257,118,312 = 257,118,312 : x
  2. Step 2: Convert to fraction form
    119,149,548/257,118,312 = 257,118,312/x
  3. Step 3: Cross multiply
    119,149,548x = 257,118,312 × 257,118,312
  4. Step 4: Simplify right side
    119,149,548x = 66,109,826,365,729,344
  5. Step 5: Solve for x
    x = 66,109,826,365,729,344/119,149,548
  6. Step 6: Final answer
    x = 554,847,479.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.