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Finding the Third Proportional to 65,751,992.58 and 142,948,470.94

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Solution

The third proportional to 65,751,992.58 and 142,948,470.94 is: 310,777,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751,992.58 : 142,948,470.94 = 142,948,470.94 : x
  2. Step 2: Convert to fraction form
    65,751,992.58/142,948,470.94 = 142,948,470.94/x
  3. Step 3: Cross multiply
    65,751,992.58x = 142,948,470.94 × 142,948,470.94
  4. Step 4: Simplify right side
    65,751,992.58x = 20,434,265,343,369,284
  5. Step 5: Solve for x
    x = 20,434,265,343,369,284/65,751,992.58
  6. Step 6: Final answer
    x = 310,777,887.36

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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.