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Finding the Third Proportional to 75,746,410.88 and 163,077,057

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Solution

The third proportional to 75,746,410.88 and 163,077,057 is: 351,094,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,746,410.88 : 163,077,057 = 163,077,057 : x
  2. Step 2: Convert to fraction form
    75,746,410.88/163,077,057 = 163,077,057/x
  3. Step 3: Cross multiply
    75,746,410.88x = 163,077,057 × 163,077,057
  4. Step 4: Simplify right side
    75,746,410.88x = 26,594,126,519,781,248
  5. Step 5: Solve for x
    x = 26,594,126,519,781,248/75,746,410.88
  6. Step 6: Final answer
    x = 351,094,213.08

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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.