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Finding the Third Proportional to 159,412,718.25 and 260,306,611.88

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Solution

The third proportional to 159,412,718.25 and 260,306,611.88 is: 425,057,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,412,718.25 : 260,306,611.88 = 260,306,611.88 : x
  2. Step 2: Convert to fraction form
    159,412,718.25/260,306,611.88 = 260,306,611.88/x
  3. Step 3: Cross multiply
    159,412,718.25x = 260,306,611.88 × 260,306,611.88
  4. Step 4: Simplify right side
    159,412,718.25x = 67,759,532,185,841,888
  5. Step 5: Solve for x
    x = 67,759,532,185,841,888/159,412,718.25
  6. Step 6: Final answer
    x = 425,057,253.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.