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Finding the Third Proportional to 65,419,602.75 and 142,721,993.25

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Solution

The third proportional to 65,419,602.75 and 142,721,993.25 is: 311,367,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419,602.75 : 142,721,993.25 = 142,721,993.25 : x
  2. Step 2: Convert to fraction form
    65,419,602.75/142,721,993.25 = 142,721,993.25/x
  3. Step 3: Cross multiply
    65,419,602.75x = 142,721,993.25 × 142,721,993.25
  4. Step 4: Simplify right side
    65,419,602.75x = 20,369,567,357,253,044
  5. Step 5: Solve for x
    x = 20,369,567,357,253,044/65,419,602.75
  6. Step 6: Final answer
    x = 311,367,946.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.