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Finding the Third Proportional to 86,177,445.75 and 128,960,839.13

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Solution

The third proportional to 86,177,445.75 and 128,960,839.13 is: 192,984,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,177,445.75 : 128,960,839.13 = 128,960,839.13 : x
  2. Step 2: Convert to fraction form
    86,177,445.75/128,960,839.13 = 128,960,839.13/x
  3. Step 3: Cross multiply
    86,177,445.75x = 128,960,839.13 × 128,960,839.13
  4. Step 4: Simplify right side
    86,177,445.75x = 16,630,898,027,824,130
  5. Step 5: Solve for x
    x = 16,630,898,027,824,130/86,177,445.75
  6. Step 6: Final answer
    x = 192,984,346.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.