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Finding the Third Proportional to 90,157,434 and 142,876,197

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Solution

The third proportional to 90,157,434 and 142,876,197 is: 226,421,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,157,434 : 142,876,197 = 142,876,197 : x
  2. Step 2: Convert to fraction form
    90,157,434/142,876,197 = 142,876,197/x
  3. Step 3: Cross multiply
    90,157,434x = 142,876,197 × 142,876,197
  4. Step 4: Simplify right side
    90,157,434x = 20,413,607,669,182,808
  5. Step 5: Solve for x
    x = 20,413,607,669,182,808/90,157,434
  6. Step 6: Final answer
    x = 226,421,790.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.