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Finding the Third Proportional to 169,750,742,322.38 and 344,489,523,440.64

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Solution

The third proportional to 169,750,742,322.38 and 344,489,523,440.64 is: 699,101,695,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,750,742,322.38 : 344,489,523,440.64 = 344,489,523,440.64 : x
  2. Step 2: Convert to fraction form
    169,750,742,322.38/344,489,523,440.64 = 344,489,523,440.64/x
  3. Step 3: Cross multiply
    169,750,742,322.38x = 344,489,523,440.64 × 344,489,523,440.64
  4. Step 4: Simplify right side
    169,750,742,322.38x = 118,673,031,760,359,272,218,624
  5. Step 5: Solve for x
    x = 118,673,031,760,359,272,218,624/169,750,742,322.38
  6. Step 6: Final answer
    x = 699,101,695,443.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.