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Finding the Third Proportional to 190,097,826,304.50 and 402,859,751,215.50

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Solution

The third proportional to 190,097,826,304.50 and 402,859,751,215.50 is: 853,749,789,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,097,826,304.50 : 402,859,751,215.50 = 402,859,751,215.50 : x
  2. Step 2: Convert to fraction form
    190,097,826,304.50/402,859,751,215.50 = 402,859,751,215.50/x
  3. Step 3: Cross multiply
    190,097,826,304.50x = 402,859,751,215.50 × 402,859,751,215.50
  4. Step 4: Simplify right side
    190,097,826,304.50x = 162,295,979,149,414,553,878,528
  5. Step 5: Solve for x
    x = 162,295,979,149,414,553,878,528/190,097,826,304.50
  6. Step 6: Final answer
    x = 853,749,789,276.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.