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Finding the Third Proportional to 86,770,550 and 115,157,378

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Solution

The third proportional to 86,770,550 and 115,157,378 is: 152,830,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,770,550 : 115,157,378 = 115,157,378 : x
  2. Step 2: Convert to fraction form
    86,770,550/115,157,378 = 115,157,378/x
  3. Step 3: Cross multiply
    86,770,550x = 115,157,378 × 115,157,378
  4. Step 4: Simplify right side
    86,770,550x = 13,261,221,707,834,884
  5. Step 5: Solve for x
    x = 13,261,221,707,834,884/86,770,550
  6. Step 6: Final answer
    x = 152,830,905.28

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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.