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Finding the Third Proportional to 65,729,268 and 141,851,016

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Solution

The third proportional to 65,729,268 and 141,851,016 is: 306,130,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729,268 : 141,851,016 = 141,851,016 : x
  2. Step 2: Convert to fraction form
    65,729,268/141,851,016 = 141,851,016/x
  3. Step 3: Cross multiply
    65,729,268x = 141,851,016 × 141,851,016
  4. Step 4: Simplify right side
    65,729,268x = 20,121,710,740,232,256
  5. Step 5: Solve for x
    x = 20,121,710,740,232,256/65,729,268
  6. Step 6: Final answer
    x = 306,130,151.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.