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Finding the Third Proportional to 86,572,378,661 and 186,173,602,619.50

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Solution

The third proportional to 86,572,378,661 and 186,173,602,619.50 is: 400,365,692,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,572,378,661 : 186,173,602,619.50 = 186,173,602,619.50 : x
  2. Step 2: Convert to fraction form
    86,572,378,661/186,173,602,619.50 = 186,173,602,619.50/x
  3. Step 3: Cross multiply
    86,572,378,661x = 186,173,602,619.50 × 186,173,602,619.50
  4. Step 4: Simplify right side
    86,572,378,661x = 34,660,610,312,323,498,770,432
  5. Step 5: Solve for x
    x = 34,660,610,312,323,498,770,432/86,572,378,661
  6. Step 6: Final answer
    x = 400,365,692,249.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.