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Finding the Third Proportional to 128,532,754 and 195,810,817

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Solution

The third proportional to 128,532,754 and 195,810,817 is: 298,304,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,532,754 : 195,810,817 = 195,810,817 : x
  2. Step 2: Convert to fraction form
    128,532,754/195,810,817 = 195,810,817/x
  3. Step 3: Cross multiply
    128,532,754x = 195,810,817 × 195,810,817
  4. Step 4: Simplify right side
    128,532,754x = 38,341,876,054,207,488
  5. Step 5: Solve for x
    x = 38,341,876,054,207,488/128,532,754
  6. Step 6: Final answer
    x = 298,304,322.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.