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Finding the Third Proportional to 260,117,612.63 and 375,825,028.88

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Solution

The third proportional to 260,117,612.63 and 375,825,028.88 is: 543,002,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,117,612.63 : 375,825,028.88 = 375,825,028.88 : x
  2. Step 2: Convert to fraction form
    260,117,612.63/375,825,028.88 = 375,825,028.88/x
  3. Step 3: Cross multiply
    260,117,612.63x = 375,825,028.88 × 375,825,028.88
  4. Step 4: Simplify right side
    260,117,612.63x = 141,244,452,328,894,576
  5. Step 5: Solve for x
    x = 141,244,452,328,894,576/260,117,612.63
  6. Step 6: Final answer
    x = 543,002,263.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.