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Finding the Third Proportional to 159,365,869.88 and 234,491,643.56

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Solution

The third proportional to 159,365,869.88 and 234,491,643.56 is: 345,032,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,365,869.88 : 234,491,643.56 = 234,491,643.56 : x
  2. Step 2: Convert to fraction form
    159,365,869.88/234,491,643.56 = 234,491,643.56/x
  3. Step 3: Cross multiply
    159,365,869.88x = 234,491,643.56 × 234,491,643.56
  4. Step 4: Simplify right side
    159,365,869.88x = 54,986,330,900,642,544
  5. Step 5: Solve for x
    x = 54,986,330,900,642,544/159,365,869.88
  6. Step 6: Final answer
    x = 345,032,038.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.