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Finding the Third Proportional to 162,257,535 and 349,118,209.13

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Solution

The third proportional to 162,257,535 and 349,118,209.13 is: 751,173,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,257,535 : 349,118,209.13 = 349,118,209.13 : x
  2. Step 2: Convert to fraction form
    162,257,535/349,118,209.13 = 349,118,209.13/x
  3. Step 3: Cross multiply
    162,257,535x = 349,118,209.13 × 349,118,209.13
  4. Step 4: Simplify right side
    162,257,535x = 121,883,523,942,647,232
  5. Step 5: Solve for x
    x = 121,883,523,942,647,232/162,257,535
  6. Step 6: Final answer
    x = 751,173,274.90

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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.