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Finding the Third Proportional to 65,042,838.75 and 140,802,919.13

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Solution

The third proportional to 65,042,838.75 and 140,802,919.13 is: 304,806,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042,838.75 : 140,802,919.13 = 140,802,919.13 : x
  2. Step 2: Convert to fraction form
    65,042,838.75/140,802,919.13 = 140,802,919.13/x
  3. Step 3: Cross multiply
    65,042,838.75x = 140,802,919.13 × 140,802,919.13
  4. Step 4: Simplify right side
    65,042,838.75x = 19,825,462,034,121,292
  5. Step 5: Solve for x
    x = 19,825,462,034,121,292/65,042,838.75
  6. Step 6: Final answer
    x = 304,806,223.33

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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.