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Finding the Third Proportional to 73,042,097.63 and 109,332,782.44

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Solution

The third proportional to 73,042,097.63 and 109,332,782.44 is: 163,654,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,042,097.63 : 109,332,782.44 = 109,332,782.44 : x
  2. Step 2: Convert to fraction form
    73,042,097.63/109,332,782.44 = 109,332,782.44/x
  3. Step 3: Cross multiply
    73,042,097.63x = 109,332,782.44 × 109,332,782.44
  4. Step 4: Simplify right side
    73,042,097.63x = 11,953,657,315,525,708
  5. Step 5: Solve for x
    x = 11,953,657,315,525,708/73,042,097.63
  6. Step 6: Final answer
    x = 163,654,354.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.