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Finding the Third Proportional to 86,355,532.50 and 123,489,429.75

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Solution

The third proportional to 86,355,532.50 and 123,489,429.75 is: 176,591,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,355,532.50 : 123,489,429.75 = 123,489,429.75 : x
  2. Step 2: Convert to fraction form
    86,355,532.50/123,489,429.75 = 123,489,429.75/x
  3. Step 3: Cross multiply
    86,355,532.50x = 123,489,429.75 × 123,489,429.75
  4. Step 4: Simplify right side
    86,355,532.50x = 15,249,639,259,980,186
  5. Step 5: Solve for x
    x = 15,249,639,259,980,186/86,355,532.50
  6. Step 6: Final answer
    x = 176,591,340.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.