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Finding the Third Proportional to 65,524,307.06 and 142,186,726.69

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Solution

The third proportional to 65,524,307.06 and 142,186,726.69 is: 308,542,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524,307.06 : 142,186,726.69 = 142,186,726.69 : x
  2. Step 2: Convert to fraction form
    65,524,307.06/142,186,726.69 = 142,186,726.69/x
  3. Step 3: Cross multiply
    65,524,307.06x = 142,186,726.69 × 142,186,726.69
  4. Step 4: Simplify right side
    65,524,307.06x = 20,217,065,246,105,824
  5. Step 5: Solve for x
    x = 20,217,065,246,105,824/65,524,307.06
  6. Step 6: Final answer
    x = 308,542,984.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.