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Finding the Third Proportional to 86,284,811.25 and 116,614,312.88

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Solution

The third proportional to 86,284,811.25 and 116,614,312.88 is: 157,604,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,284,811.25 : 116,614,312.88 = 116,614,312.88 : x
  2. Step 2: Convert to fraction form
    86,284,811.25/116,614,312.88 = 116,614,312.88/x
  3. Step 3: Cross multiply
    86,284,811.25x = 116,614,312.88 × 116,614,312.88
  4. Step 4: Simplify right side
    86,284,811.25x = 13,598,897,967,308,390
  5. Step 5: Solve for x
    x = 13,598,897,967,308,390/86,284,811.25
  6. Step 6: Final answer
    x = 157,604,771.57

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.