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Finding the Third Proportional to 65,103,531.05 and 140,428,841.91

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Solution

The third proportional to 65,103,531.05 and 140,428,841.91 is: 302,906,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,103,531.05 : 140,428,841.91 = 140,428,841.91 : x
  2. Step 2: Convert to fraction form
    65,103,531.05/140,428,841.91 = 140,428,841.91/x
  3. Step 3: Cross multiply
    65,103,531.05x = 140,428,841.91 × 140,428,841.91
  4. Step 4: Simplify right side
    65,103,531.05x = 19,720,259,639,130,556
  5. Step 5: Solve for x
    x = 19,720,259,639,130,556/65,103,531.05
  6. Step 6: Final answer
    x = 302,906,145.37

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