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Finding the Third Proportional to 96,434,407 and 145,548,416

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Solution

The third proportional to 96,434,407 and 145,548,416 is: 219,676,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434,407 : 145,548,416 = 145,548,416 : x
  2. Step 2: Convert to fraction form
    96,434,407/145,548,416 = 145,548,416/x
  3. Step 3: Cross multiply
    96,434,407x = 145,548,416 × 145,548,416
  4. Step 4: Simplify right side
    96,434,407x = 21,184,341,400,109,056
  5. Step 5: Solve for x
    x = 21,184,341,400,109,056/96,434,407
  6. Step 6: Final answer
    x = 219,676,172.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.