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Finding the Third Proportional to 65,729,316 and 141,851,080

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Solution

The third proportional to 65,729,316 and 141,851,080 is: 306,130,203.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,729,316 : 141,851,080 = 141,851,080 : x
  2. Step 2: Convert to fraction form
    65,729,316/141,851,080 = 141,851,080/x
  3. Step 3: Cross multiply
    65,729,316x = 141,851,080 × 141,851,080
  4. Step 4: Simplify right side
    65,729,316x = 20,121,728,897,166,400
  5. Step 5: Solve for x
    x = 20,121,728,897,166,400/65,729,316
  6. Step 6: Final answer
    x = 306,130,203.72

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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.