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Finding the Third Proportional to 86,770,539 and 115,157,362.50

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Solution

The third proportional to 86,770,539 and 115,157,362.50 is: 152,830,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,770,539 : 115,157,362.50 = 115,157,362.50 : x
  2. Step 2: Convert to fraction form
    86,770,539/115,157,362.50 = 115,157,362.50/x
  3. Step 3: Cross multiply
    86,770,539x = 115,157,362.50 × 115,157,362.50
  4. Step 4: Simplify right side
    86,770,539x = 13,261,218,137,956,406
  5. Step 5: Solve for x
    x = 13,261,218,137,956,406/86,770,539
  6. Step 6: Final answer
    x = 152,830,883.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.