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Finding the Third Proportional to 170,814,292,735 and 367,335,549,184

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Solution

The third proportional to 170,814,292,735 and 367,335,549,184 is: 789,953,835,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,814,292,735 : 367,335,549,184 = 367,335,549,184 : x
  2. Step 2: Convert to fraction form
    170,814,292,735/367,335,549,184 = 367,335,549,184/x
  3. Step 3: Cross multiply
    170,814,292,735x = 367,335,549,184 × 367,335,549,184
  4. Step 4: Simplify right side
    170,814,292,735x = 134,935,405,694,310,890,340,352
  5. Step 5: Solve for x
    x = 134,935,405,694,310,890,340,352/170,814,292,735
  6. Step 6: Final answer
    x = 789,953,835,441.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.