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Finding the Third Proportional to 103,126,284 and 149,138,820

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Solution

The third proportional to 103,126,284 and 149,138,820 is: 215,681,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,126,284 : 149,138,820 = 149,138,820 : x
  2. Step 2: Convert to fraction form
    103,126,284/149,138,820 = 149,138,820/x
  3. Step 3: Cross multiply
    103,126,284x = 149,138,820 × 149,138,820
  4. Step 4: Simplify right side
    103,126,284x = 22,242,387,630,992,400
  5. Step 5: Solve for x
    x = 22,242,387,630,992,400/103,126,284
  6. Step 6: Final answer
    x = 215,681,073.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.