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Finding the Third Proportional to 86,094,012 and 130,735,366.50

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Solution

The third proportional to 86,094,012 and 130,735,366.50 is: 198,524,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,094,012 : 130,735,366.50 = 130,735,366.50 : x
  2. Step 2: Convert to fraction form
    86,094,012/130,735,366.50 = 130,735,366.50/x
  3. Step 3: Cross multiply
    86,094,012x = 130,735,366.50 × 130,735,366.50
  4. Step 4: Simplify right side
    86,094,012x = 17,091,736,053,889,322
  5. Step 5: Solve for x
    x = 17,091,736,053,889,322/86,094,012
  6. Step 6: Final answer
    x = 198,524,097.75

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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.